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Isaev, Aleksei Petrovich

Statistics Math-Net.Ru
Total publications: 15
Scientific articles: 15

Number of views:
This page:894
Abstract pages:2550
Full texts:832
References:335
Professor
Doctor of physico-mathematical sciences (1997)
Speciality: 01.04.02 (Theoretical physics)
E-mail:
Keywords: integrable systems, quantum groups, Yang–Baxter equations, analitical evaluations in quantum field theory.
UDC: 512.552

Subject:

Several papers (in collaboration with A.I. Molev and O.V. Ogievetsky) are devoted to the devolopment of the representation theory of (affine) Hecke and Birman–Murakami–Wenzl algebras. In collaboration with P.P. Kulish, reflection equations for factorizable scattering of strings were constructed. The operator method of the analytical evaluation of multi-loop Feynman integrals was developed.

   
Main publications:
  1. A. P. Isaev, “Multi-loop Feynman integrals and conformal quantum mechanics”, Nucl. Phys. B, 662 (2003), 461–475
  2. A. P. Isaev, P.\N. Pyatov, “Spectral extension of the quantum group cotangent bundle”, Comm. Math. Phys., 288 (2009), 1137–1179
  3. D. Chicherin, S. Derkachov, A. P. Isaev, “Conformal group: R-matrix and star-triangle relation”, JHEP, 1304 (2013), 020
  4. A. P. Isaev, A. I. Molev, O. V. Ogievetsky, “Idempotents for BirmanMurakamiWenzl algebras and reflection equation”, Adv.Theor.Math.Phys, 18 (2014), 1-25

http://www.mathnet.ru/eng/person19342
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/191575

Publications in Math-Net.Ru
2019
1. A. P. Isaev, M. A. Podoynitsyin, “Polarization tensors for massive arbitrary-spin particles and the Behrends–Fronsdal projection operator”, TMF, 198:1 (2019),  101–112  mathnet  elib; Theoret. and Math. Phys., 198:1 (2019), 89–99  isi  scopus
2018
2. A. P. Isaev, M. A. Podoinicin, “Unitary representations of the Wigner group $ISL(2,\mathbb C)$ and a two-spinor description of massive particles with an arbitrary spin”, TMF, 195:3 (2018),  331–361  mathnet  elib; Theoret. and Math. Phys., 195:3 (2018), 779–806  isi  scopus
2017
3. P. A. Valinevich, S. E. Derkachov, A. P. Isaev, A. V. Komisarchuk, “Orthogonal polynomials, $6j$-symbols and statistical weights of SOS models”, Zap. Nauchn. Sem. POMI, 465 (2017),  105–134  mathnet
4. P. A. Valinevich, S. E. Derkachov, A. P. Isaev, “SOS-representation for the $SL(2,\mathbb C)$-invariant $R$-operator and Feynman diagrams”, Zap. Nauchn. Sem. POMI, 465 (2017),  82–104  mathnet
2010
5. A. P. Isaev, A. I. Molev, “Fusion procedure for the Brauer algebra”, Algebra i Analiz, 22:3 (2010),  142–154  mathnet  mathscinet  zmath; St. Petersburg Math. J., 22:3 (2011), 437–446  isi  scopus
2007
6. A. P. Isaev, “Functional equations for transfer-matrix operators in open Hecke chain models”, TMF, 150:2 (2007),  219–236  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 150:2 (2007), 187–202  isi  scopus
2004
7. A. P. Isaev, O. V. Ogievetskii, P. N. Pyatov, “On R-Matrix Representations of Birman–Murakami–Wenzl Algebras”, Tr. Mat. Inst. Steklova, 246 (2004),  147–153  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 246 (2004), 134–141
8. V. G. Gorbunov, A. P. Isaev, O. V. Ogievetskii, “BRST Operator for Quantum Lie Algebras: Relation to the Bar Complex”, TMF, 139:1 (2004),  29–44  mathnet  mathscinet; Theoret. and Math. Phys., 139:1 (2004), 473–485  isi
2001
9. A. P. Isaev, O. V. Ogievetskii, “BRST Operator for Quantum Lie Algebras and Differential Calculus on Quantum Groups”, TMF, 129:2 (2001),  298–316  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 129:2 (2001), 1558–1572  isi
1993
10. A. T. Filippov, A. P. Isaev, A. B. Kurdikov, “Paragrassmann differential calculus”, TMF, 94:2 (1993),  213–231  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 94:2 (1993), 150–165  isi
1989
11. E. A. Ivanov, A. P. Isaev, “The Green–Schwarz superstring as an asymmetric model of a chiral field”, TMF, 81:3 (1989),  420–433  mathnet  mathscinet; Theoret. and Math. Phys., 81:3 (1989), 1304–1313  isi
1987
12. A. P. Isaev, “Fermionic string model in spaces of Lie groups”, TMF, 71:3 (1987),  395–409  mathnet  mathscinet; Theoret. and Math. Phys., 71:3 (1987), 616–626  isi
1985
13. S. G. Gorishnii, A. P. Isaev, “An approach to the calculation of many-loop massless Feynman integrals”, TMF, 62:3 (1985),  345–358  mathnet  mathscinet; Theoret. and Math. Phys., 62:3 (1985), 232–240  isi
1983
14. A. P. Isaev, “Integrals of the motion of a closed relativistic string”, TMF, 54:2 (1983),  209–218  mathnet  mathscinet; Theoret. and Math. Phys., 54:2 (1983), 134–140  isi
1981
15. V. V. Bazhanov, A. P. Isaev, “Equations for path mean values in non-Abelian gauge theory”, TMF, 49:3 (1981),  307–319  mathnet; Theoret. and Math. Phys., 49:3 (1981), 1049–1057  isi

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