RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 
Feigin Boris Lvovich

Statistics Math-Net.Ru
Total publications: 48
Scientific articles: 41
Presentations: 44

Number of views:
This page:5485
Abstract pages:18479
Full texts:6221
References:1223
Doctor of physico-mathematical sciences
Birth date: 20.11.1953
E-mail: ,

http://www.mathnet.ru/eng/person20636
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:feigin.boris-l|fejgin.boris-l
https://mathscinet.ams.org/mathscinet/MRAuthorID/65720

Publications in Math-Net.Ru
2017
1. B. L. Feigin, V. V. Sopin, “Combinatorics of a statistical model constructed from the $2\times n$ square lattice”, Funktsional. Anal. i Prilozhen., 51:4 (2017),  72–78  mathnet  elib; Funct. Anal. Appl., 51:4 (2017), 300–305  isi  scopus
2. B. L. Feigin, “Extensions of vertex algebras. Constructions and applications”, Uspekhi Mat. Nauk, 72:4(436) (2017),  131–190  mathnet  mathscinet  elib; Russian Math. Surveys, 72:4 (2017), 707–763  isi  scopus
2016
3. B. L. Feigin, “Integrable systems, shuffle algebras, and Bethe equations”, Tr. Mosk. Mat. Obs., 77:2 (2016),  251–306  mathnet  elib; Trans. Moscow Math. Soc., 77 (2016), 203–246  scopus
2015
4. Boris Feigin, Ayumu Hoshino, Masatoshi Noumi, Jun Shibahara, Jun'ichi Shiraishi, “Tableau Formulas for One-Row Macdonald Polynomials of Types $C_n$ and $D_n$”, SIGMA, 11 (2015), 100  mathnet  isi  scopus
2014
5. B. L. Feigin, “Commutative Vertex Algebras and Their Degenerations”, Funktsional. Anal. i Prilozhen., 48:3 (2014),  24–33  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 48:3 (2014), 175–182  isi  elib  scopus
6. G. S. Mutafyan, B. L. Feigin, “Characters of Representations of the Quantum Toroidal Algebra $\widehat{\widehat{\mathfrak{gl}_1}}$: Plane Partitions with “Stands””, Funktsional. Anal. i Prilozhen., 48:1 (2014),  46–60  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 48:1 (2014), 36–48  isi  scopus
2013
7. G. S. Mutafyan, B. L. Feigin, “The Quantum Toroidal Algebra $\widehat{\widehat{\mathfrak{gl}_1}}$: Calculation of Characters of Some Representations as Generating Functions of Plane Partitions”, Funktsional. Anal. i Prilozhen., 47:1 (2013),  62–76  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 47:1 (2013), 50–61  isi  elib  scopus
2011
8. B. L. Feigin, “Abelianization of the BGG resolution of representations of the Virasoro algebra”, Funktsional. Anal. i Prilozhen., 45:4 (2011),  72–81  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 45:4 (2011), 297–304  isi  elib  scopus
2006
9. A. M. Gainutdinov, A. M. Semikhatov, I. Yu. Tipunin, B. L. Feigin, “Kazhdan–Lusztig correspondence for the representation category of the triplet $W$-algebra in logarithmic CFT”, TMF, 148:3 (2006),  398–427  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 148:3 (2006), 1210–1235  isi  elib  scopus
2003
10. B. L. Feigin, J. Hong, T. Miwa, “A construction of level 1 irreducible modules for $U_q(\widehat{\mathfrak{sp}}_4)$ using level 2 intertwiners for $U_q(\widehat{\mathfrak{sl}}_2)$”, Mosc. Math. J., 3:4 (2003),  1247–1267  mathnet  mathscinet  zmath
2002
11. B. L. Feigin, E. B. Feigin, “$q$-characters of the tensor products in $\mathbf{sl}_2$-case”, Mosc. Math. J., 2:3 (2002),  567–588  mathnet  mathscinet  zmath
2001
12. S. A. Loktev, B. L. Feigin, “On the Finitization of the Gordon Identities”, Funktsional. Anal. i Prilozhen., 35:1 (2001),  53–61  mathnet  mathscinet  zmath; Funct. Anal. Appl., 35:1 (2001), 44–51  isi  scopus
13. A. M. Semikhatov, B. L. Feigin, “$\widehat{s\ell}(2)\oplus \widehat{s\ell}(2)/\widehat{s\ell}(2)$ coset theory is a Hamiltonian reduction of the $\widehat{D}(2|1; \alpha)$ superalgebra”, Pis'ma v Zh. Èksper. Teoret. Fiz., 74:1 (2001),  61–65  mathnet; JETP Letters, 74:1 (2001), 59–64  scopus
14. A. A. Belavin, S. Yu. Gubanov, B. L. Feigin, “Truncation of functional relations in the XXZ model”, Mosc. Math. J., 1:2 (2001),  145–156  mathnet  mathscinet  zmath
15. A. M. Semikhatov, I. Yu. Tipunin, B. L. Feigin, “Semi-Infinite Realization of Unitary Representations of the $N=2$ Algebra and Related Constructions”, TMF, 126:1 (2001),  3–62  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 126:1 (2001), 1–47  isi
1999
16. A. M. Semikhatov, B. L. Feigin, “Free-field resolutions of unitary representations of the $N=2$ Virasoro algebra: II. The butterfly resolution”, TMF, 121:2 (1999),  244–257  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 121:2 (1999), 1462–1472  isi
1997
17. A. V. Odesskii, B. L. Feigin, “Elliptic Deformations of Current Algebras and Their Representations by Difference Operators”, Funktsional. Anal. i Prilozhen., 31:3 (1997),  57–70  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:3 (1997), 193–203  isi
1996
18. S. A. Loktev, B. L. Feigin, “Cohomology of Nilpotent Subalgebras of the Algebra $\widehat{sl_2}$”, Funktsional. Anal. i Prilozhen., 30:4 (1996),  80–83  mathnet  mathscinet  zmath; Funct. Anal. Appl., 30:4 (1996), 285–287  isi
1995
19. A. V. Odesskii, B. L. Feigin, “Elliptic Sklyanin Algebras. The Case of Points of Finite Order”, Funktsional. Anal. i Prilozhen., 29:2 (1995),  9–21  mathnet  mathscinet  zmath; Funct. Anal. Appl., 29:2 (1995), 81–90  isi
20. B. Enriquez, B. L. Feigin, “Integrals of motion of classical lattice sine-Gordon system”, TMF, 103:3 (1995),  507–528  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 103:3 (1995), 738–756  isi
1994
21. A. V. Stoyanovskii, B. L. Feigin, “A Realization of the Modular Functor in the Space of Differentials and the Geometric Approximation of the Moduli Space of $G$-Bundles”, Funktsional. Anal. i Prilozhen., 28:4 (1994),  42–65  mathnet  mathscinet  zmath; Funct. Anal. Appl., 28:4 (1994), 257–275  isi
22. A. V. Stoyanovskii, B. L. Feigin, “Functional Models for Representations of Current Algebras and Semi-Infinite Schubert Cells”, Funktsional. Anal. i Prilozhen., 28:1 (1994),  68–90  mathnet  mathscinet  zmath; Funct. Anal. Appl., 28:1 (1994), 55–72  isi
1993
23. A. V. Odesskii, B. L. Feigin, “Constructions of Sklyanin Elliptic Algebras and Quantum $R$-Matrices”, Funktsional. Anal. i Prilozhen., 27:1 (1993),  37–45  mathnet  mathscinet  zmath; Funct. Anal. Appl., 27:1 (1993), 31–38  isi
1989
24. A. V. Odesskii, B. L. Feigin, “Sklyanin elliptic algebras”, Funktsional. Anal. i Prilozhen., 23:3 (1989),  45–54  mathnet  mathscinet  zmath; Funct. Anal. Appl., 23:3 (1989), 207–214  isi
1988
25. B. L. Feigin, D. B. Fuchs, “Cohomology of Lie groups and Lie algebras”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 21 (1988),  121–209  mathnet  mathscinet  zmath
26. B. L. Feigin, E. V. Frenkel, “A family of representations of affine Lie algebras”, Uspekhi Mat. Nauk, 43:5(263) (1988),  227–228  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:5 (1988), 221–222  isi
27. B. L. Feigin, “The Lie algebras $\mathfrak{gl}(\lambda)$ and cohomologies of Lie algebras of differential operators”, Uspekhi Mat. Nauk, 43:2(260) (1988),  157–158  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:2 (1988), 169–170  isi
1986
28. F. G. Malikov, B. L. Feigin, D. B. Fuchs, “Singular vectors in Verma modules over Kac–Moody algebras”, Funktsional. Anal. i Prilozhen., 20:2 (1986),  25–37  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:2 (1986), 103–113
1985
29. B. L. Feigin, B. L. Tsygan, “Additive $K$-theory and crystalline cohomology”, Funktsional. Anal. i Prilozhen., 19:2 (1985),  52–62  mathnet  mathscinet  zmath; Funct. Anal. Appl., 19:2 (1985), 124–132  isi
1984
30. B. L. Feigin, D. B. Fuchs, “Stable cohomology of the algebra $W_n$ and relations in the algebra $L_1$”, Funktsional. Anal. i Prilozhen., 18:3 (1984),  94–95  mathnet  mathscinet  zmath; Funct. Anal. Appl., 18:3 (1984), 264–266  isi
31. B. L. Feigin, “The semi-infinite homology of Kac–Moody and Virasoro Lie algebras”, Uspekhi Mat. Nauk, 39:2(236) (1984),  195–196  mathnet  mathscinet  zmath; Russian Math. Surveys, 39:2 (1984), 155–156  isi
1983
32. B. L. Feigin, D. B. Fuchs, “Verma modules over the virasoro algebra”, Funktsional. Anal. i Prilozhen., 17:3 (1983),  91–92  mathnet  mathscinet  zmath; Funct. Anal. Appl., 17:3 (1983), 241–242  isi
33. B. L. Feigin, B. L. Tsygan, “Cohomologies of Lie algebras of generalized Jacobi matrices”, Funktsional. Anal. i Prilozhen., 17:2 (1983),  86–87  mathnet  mathscinet  zmath; Funct. Anal. Appl., 17:2 (1983), 153–155  isi
1982
34. B. L. Feigin, D. B. Fuchs, “Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra”, Funktsional. Anal. i Prilozhen., 16:2 (1982),  47–63  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:2 (1982), 114–126  isi
35. V. S. Retakh, B. L. Feigin, “On the cohomology of certain Lie algebras and superalgebras of vector fields”, Uspekhi Mat. Nauk, 37:2(224) (1982),  233–234  mathnet  mathscinet  zmath; Russian Math. Surveys, 37:2 (1982), 251–252  isi
1980
36. B. L. Feigin, D. B. Fuchs, “Homology of the Lie algebra of vector fields on the line”, Funktsional. Anal. i Prilozhen., 14:3 (1980),  45–60  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:3 (1980), 201–212  isi
37. B. L. Feigin, “Cohomology of groups and algebras of flows”, Uspekhi Mat. Nauk, 35:2(212) (1980),  225–226  mathnet  mathscinet  zmath; Russian Math. Surveys, 35:2 (1980), 239–240  isi
1979
38. B. L. Feigin, D. B. Fuchs, “Invariant differential operators on the line”, Funktsional. Anal. i Prilozhen., 13:4 (1979),  91–92  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:4 (1979), 314–315
1978
39. I. M. Gel'fand, B. L. Feigin, D. B. Fuchs, “Cohomology of infinite-dimensional Lie algebras and Laplace operators”, Funktsional. Anal. i Prilozhen., 12:4 (1978),  1–5  mathnet  mathscinet  zmath; Funct. Anal. Appl., 12:4 (1978), 243–247
1975
40. B. L. Feigin, “Characteristic classes of flags of foliations”, Funktsional. Anal. i Prilozhen., 9:4 (1975),  49–56  mathnet  mathscinet  zmath; Funct. Anal. Appl., 9:4 (1975), 312–317
1974
41. I. M. Gel'fand, B. L. Feigin, D. B. Fuchs, “Cohomologies of the Lie algebra of formal vector fields with coefficients in its adjoint space and variations of characteristic classes of foliations”, Funktsional. Anal. i Prilozhen., 8:2 (1974),  13–29  mathnet  mathscinet  zmath; Funct. Anal. Appl., 8:2 (1974), 99–112

2015
42. Boris Feigin, “My dear friend Andrei Zelevinski”, Mosc. Math. J., 15:2 (2015),  398–400  mathnet  mathscinet
43. B. Feigin, S. Khoroshkin, S. Lando, A. Sossinsky, M. Tsfasman, “Andrei Zelevinski”, Mosc. Math. J., 15:2 (2015),  397  mathnet  mathscinet  isi
2010
44. S. B. Artemov, A. A. Belavin, V. M. Buchstaber, A. I. Esterov, B. L. Feigin, V. A. Ginzburg, E. A. Gorsky, Yu. S. Ilyashenko, A. A. Kirillov, A. G. Khovanskii, S. K. Lando, G. A. Margulis, Yu. A. Neretin, S. P. Novikov, S. B. Shlosman, A. B. Sossinsky, M. A. Tsfasman, A. N. Varchenko, V. A. Vassiliev, S. G. Vlăduţ, “Sabir Medgidovich Gusein-Zade”, Mosc. Math. J., 10:4 (2010),  831–832  mathnet
2009
45. Boris Feigin, “Mëbius Contest”, Mosc. Math. J., 9:2 (2009),  209–210  mathnet  mathscinet
2007
46. B. L. Feigin, Yu. S. Ilyashenko, A. B. Sossinski, Yu. Tschinkel, M. A. Tsfasman, S. G. Vlăduţ, “Yuri I. Manin”, Mosc. Math. J., 7:1 (2007),  163  mathnet
2004
47. B. L. Feigin, Yu. S. Ilyashenko, Yu. I. Manin, S. B. Shlosman, M. A. Tsfasman, “Serge G. Vlăduţ”, Mosc. Math. J., 4:2 (2004),  531–532  mathnet  mathscinet  zmath
2003
48. B. L. Feigin, Yu. S. Ilyashenko, S. K. Lando, A. B. Sossinski, M. A. Tsfasman, V. A. Vassiliev, “Alexander Belavin”, Mosc. Math. J., 3:1 (2003),  255–256  mathnet  mathscinet

Presentations in Math-Net.Ru
1. Mock theta functions and characters of representations of logarithmic vertex algebras
B. L. Feigin
Automorphic forms and their applications
December 4, 2018 18:00
2. Алгебры Ли и их представления II. Лекция 6
B. L. Feigin, L. G. Rybnikov

March 15, 2018 19:20   
3. Алгебры Ли и их представления II. Лекция 4
B. L. Feigin, L. G. Rybnikov

March 1, 2018 19:20   
4. Алгебры Ли и их представления II. Лекция 2
B. L. Feigin, L. G. Rybnikov

February 15, 2018 19:20   
5. Алгебры Ли и их представления II. Лекция 1
B. L. Feigin, L. G. Rybnikov

February 8, 2018 19:20   
6. Shifted toroidal algebras and corresponding vertex operator algebras
B. Feigin
Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 16, 2017 10:50   
7. Представления алгебр Ли. Лекция 14
B. L. Feigin, L. G. Rybnikov

December 7, 2017 17:30   
8. Представления алгебр Ли. Лекция 12
B. L. Feigin, L. G. Rybnikov

November 23, 2017 17:30   
9. Представления алгебр Ли. Лекция 10
B. L. Feigin, L. G. Rybnikov

November 9, 2017 17:30   
10. Представления алгебр Ли. Лекция 9
B. L. Feigin, L. G. Rybnikov

November 2, 2017 17:30   
11. Представления алгебр Ли. Лекция 8
B. L. Feigin, L. G. Rybnikov

October 26, 2017 17:30   
12. Представления алгебр Ли. Лекция 6
B. L. Feigin, L. G. Rybnikov

October 12, 2017 17:30   
13. Представления алгебр Ли. Лекция 4
B. L. Feigin, L. G. Rybnikov

September 28, 2017 17:30   
14. Представления алгебр Ли. Лекция 3, часть 1
B. L. Feigin, L. G. Rybnikov

September 21, 2017 17:30   
15. Представление алгебр Ли. Лекция 3, часть 2
B. L. Feigin, L. G. Rybnikov

September 21, 2017 17:30   
16. Представления алгебр Ли. Лекция 2
B. L. Feigin, L. G. Rybnikov

September 14, 2017 17:30   
17. Представления алгебр Ли. Лекция 1
B. L. Feigin, L. G. Rybnikov

September 7, 2017 17:30   
18. Алгебры Верлинде и геометрия (продолжение)
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
February 25, 2016 11:00
19. Verlinde algebras and geometry
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
February 18, 2016 14:00
20. Meditations around Litvinov functional equations
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
October 29, 2015 14:00
21. Квантовые группы. Лекция 7
A. S. Khoroshkin, B. L. Feigin

October 28, 2015   
22. Квантовые группы. Лекция 6
A. S. Khoroshkin, B. L. Feigin

October 21, 2015   
23. Квантовые группы. Лекция 5
A. S. Khoroshkin, B. L. Feigin

October 14, 2015   
24. Квантовые группы. Лекция 4
A. S. Khoroshkin, B. L. Feigin

October 7, 2015   
25. Квантовые группы. Лекция 1
A. S. Khoroshkin, B. L. Feigin

September 16, 2015   
26. N=2 supersymmetric models: coset construction and eta-gamma construction
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
June 4, 2015 14:00
27. Bethe ansatz for equations of quantum KdV type II
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
December 11, 2014 14:00
28. Bethe ansatz for equations of quantum KdV type II
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
November 27, 2014 14:00
29. Bethe ansatz for equations of quantum KdV type
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
November 20, 2014 14:00
30. Ding-Iohara Algebra and Integrable Systems (con.)
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
February 13, 2014 14:00
31. Ding-Iohara Algebra and Integrable Systems (con.)
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
January 30, 2014 14:00
32. Ding-Iohara Algebra and Integrable Systems (con.)
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
January 23, 2014 14:00
33. Ding-Iohara Algebra and Integrable Systems (con.)
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
January 16, 2014 14:00
34. Ding-Iohara Algebra and Integrable Systems
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
January 9, 2014 14:00
35. Informal talk
E. V. Frenkel, B. L. Feigin
International Conference dedicated to the 60-th birthday of Boris Feigin "Representation Theory and applications to Combinatorics, Geometry and Quantum Physics"
December 17, 2013 10:00   
36. Some approach to formality
B. L. Feigin
Homology and homotopy methods in geometry
November 18, 2013 17:00
37. Fermionic Formulas for the Nekrasov tpe Partition Functions
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
September 26, 2013 17:30
38. Comments to Nekrasov talk
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
February 27, 2013 14:30
39. Quantum W algebras II
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
October 24, 2012 17:30
40. Quantum W algebras
B. L. Feigin
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
October 17, 2012 17:30
41. AGT theory and representations of toroidal algebras
B. L. Feigin, J. Shiraishi
St. Petersburg Seminar on Representation Theory and Dynamical Systems
February 24, 2012 12:00
42. Abelianization of resolutions and semiinfinite geometry
B. L. Feigin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
February 23, 2012 14:00   
43. “Quasi-classical” formulae for characters of the representations of the vertex-operator algebras
B. L. Feigin
Meetings of the St. Petersburg Mathematical Society
March 25, 2008
44. Constructions of “large” commutative subalgebras in tensor products of affine algebras
B. L. Feigin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
October 23, 2006

Organisations
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019