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Shirokov, Dmitry Sergeevich

Total publications: 30 (30)
in MathSciNet: 15 (15)
in zbMATH: 14 (14)
in Web of Science: 18 (18)
in Scopus: 17 (17)
Cited articles: 20
Citations in Math-Net.Ru: 19
Citations in Web of Science: 108
Citations in Scopus: 96
Presentations: 5

Number of views:
This page:6873
Abstract pages:3093
Full texts:1144
References:232
Shirokov, Dmitry Sergeevich
Candidate of physico-mathematical sciences (2013)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 5.05.1987
E-mail: , , ,
Website: http://www.hse.ru/staff/shirokov
Keywords: mathematical physics, Clifford algebras, spin groups, spinors, Dirac equation, Yang-Mills equations
UDC: 514.744, 517.958
MSC: 15A66, 70S15, 81Q05

Subject:

mathematical physics, field theory, Clifford algebras

Biography

Graduated from Lomonosov Moscow State University with high honors in 2009 (Faculty of mechanics and mathematics, Department of gas and wave dynamics). Post-graduate education in Steklov Mathematical Institute of Russian Academy of Sciences (Department of mathematical physics, supervisor: N. G. Marchuk). Ph.D. (Candidate Phys.-Math. Sci., 2013, mathematical physics).

Associate professor of National Research University Higher School of Economics (Faculty of Economics, Department of Mathematics, Moscow, 2015 - now), Senior scientific researcher in Kharkevich Institute for Information Transmission Problems of Russian Academy of Sciences (Moscow, 2014 - now), Associate professor of Bauman Moscow State Technical University (Faculty of Fundamental Sciences, Moscow, 2014-2016).

   
Main publications:
  1. N. G. Marchuk, D. S. Shirokov, Vvedenie v teoriyu algebr Klifforda, Fazis, Moskva, 2012 , 590 pp.
  2. D. S. Shirokov, Lectures on Clifford algebras and spinors, Lekts. Kursy NOC, 19, Steklov Math. Inst., RAS, Moscow, 2012 , 180 pp.  mathnet  mathnet  crossref  crossref  zmath
  3. D. S. Shirokov, “Clifford algebras and their applications to Lie groups and spinors”, Lectures, Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization (Varna, Bulgaria, June 2 - 7, 2017), eds. Ivaïlo Mladenov and Akira Yoshioka, Avangard Prima, Sofia, Bulgaria, 2018, 11–53 , arXiv: 1709.06608  crossref  mathscinet  zmath  isi  scopus

http://www.mathnet.ru/eng/person52747
http://scholar.google.com/citations?user=UsNs04AAAAAJ&hl=en
http://zbmath.org/authors/?q=ai:shirokov.dmitry-s
https://mathscinet.ams.org/mathscinet/MRAuthorID/846983
http://elibrary.ru/author_items.asp?authorid=728534
http://orcid.org/0000-0002-2407-9601
http://www.researcherid.com/rid/C-1658-2014
http://www.scopus.com/authid/detail.url?authorId=25629062100
https://www.researchgate.net/profile/Dmitry_Shirokov
https://arxiv.org/a/shirokov_d_1
inSPIRE personal page (High Energy Physics (HEP) information system)

Full list of publications:
| by years | by types | by times cited in WoS | by times cited in Scopus | scientific publications | common list |


1. D. S. Shirokov, “On constant solutions of $ SU(2)$ Yang-Mills equations with arbitrary current in Euclidean space ${\mathbb R}^n$”, Journal of Nonlinear Mathematical Physics (to appear) , arXiv: 1804.04620

   2019
2. D. S. Shirokov, “Calculation of elements of spin groups using method of averaging in Clifford`s geometric algebra”, Advances in Applied Clifford Algebras, 29:50 (2019) , 12 pp., arXiv: 1901.09405  crossref  isi  scopus

   2018
3. N. G. Marchuk, D. S. Shirokov, Local generalization of Pauli's theorem, 2018 , 16 pp., arXiv: 1201.4985
4. D. S. Shirokov, “Classification of Lie algebras of specific type in complexified Clifford algebras”, Linear and Multilinear Algebra, 66:9 (2018), 1870–1887 , arXiv: 1704.03713  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1)
5. D. S. Shirokov, “Clifford algebras and their applications to Lie groups and spinors”, Lectures, Proceedings of the Nineteenth International Conference on Geometry, Integrability and Quantization (Varna, Bulgaria, June 2 - 7, 2017), eds. Ivaïlo Mladenov and Akira Yoshioka, Avangard Prima, Sofia, Bulgaria, 2018, 11–53 , arXiv: 1709.06608  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)
6. D. S. Shirokov, “Covariantly constant solutions of the Yang-Mills equations”, Advances in Applied Clifford Algebras, 28 (2018), 53 , 16 pp., arXiv: 1709.07836  crossref  isi (cited: 1)  scopus (cited: 1)
7. D. S. Shirokov, A note on the hyperbolic singular value decomposition without hyperexchange matrices, 2018 , 14 pp., arXiv: 1812.02460

   2017
8. D. S. Shirokov, “Method of averaging in Clifford Algebras”, Advances in Applied Clifford Algebras, 27:1 (2017), 149-163 , arXiv: 1412.0246  crossref  mathscinet  isi  scopus (cited: 3)

   2016
9. N. G. Marchuk, D. S. Shirokov, “Constant Solutions of Yang-Mills Equations and Generalized Proca Equations”, Journal of Geometry and Symmetry in Physics, 42 (2016), 53–72 , arXiv: 1611.03070  mathnet  crossref  isi (cited: 4)  scopus (cited: 4)
10. D. S. Shirokov, “On Some Lie Groups Containing Spin Group in Clifford Algebra”, Journal of Geometry and Symmetry in Physics, 42 (2016), 73–94 , arXiv: 1607.07363  crossref  mathscinet  zmath  isi (cited: 3)  scopus (cited: 3)
11. N.G. Marchuk, D.S. Shirokov, “General solutions of one class of field equations”, Rep. Math. Phys., 78:3 (2016), 305–326 , arXiv: 1406.6665  mathnet  crossref  mathscinet  isi (cited: 10)  scopus (cited: 9)

   2015
12. D.S. Shirokov, “Calculations of elements of spin groups using generalized Pauli's theorem”, Advances in Applied Clifford Algebras, 25:1 (2015), 227–244 , arXiv: 1409.2449  crossref  mathscinet  zmath  isi (cited: 6)  elib  scopus
13. D. S. Shirokov, “Contractions on ranks and quaternion types in Clifford algebras”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 19:1 (2015), 117–135  mathnet  crossref  zmath  isi  rsci  elib
14. D. S. Shirokov, “Symplectic, Orthogonal and Linear Lie Groups in Clifford Algebra”, Advances in Applied Clifford Algebras, 25:3 (2015), 707-718 , arXiv: 1409.2452  crossref  mathscinet  isi (cited: 6)  elib  scopus (cited: 6)

   2014
15. D.S. Shirokov, Method of generalized Reynolds operators and Pauli's theorem in Clifford algebras, 2014 , 14 pp., arXiv: 1409.8163

   2013
16. D. S. Shirokov, “Pauli theorem in the description of $n$-dimensional spinors in the Clifford algebra formalism”, Theoret. and Math. Phys., 175:1 (2013), 454–474  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 7)  elib  elib  scopus (cited: 6)
17. D. S. Shirokov, “The use of the generalized Pauli's theorem for odd elements of Clifford algebra to analyze relations between spin and orthogonal groups of arbitrary dimensions”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(30) (2013), 279-287  mathnet  crossref  mathscinet
18. D. S. Shirokov, “Obobschenie teoremy Pauli na sluchai algebr Klifforda”, Shkola-seminar "Vzaimodeistvie matematiki i fiziki: novye perspektivy dlya studentov, aspirantov i molodykh issledovatelei (Moskva, Matematicheskii institut im. V.A.Steklova RAN, 22 - 30 avgusta 2012), Nanostruktury. Matematicheskaya fizika i modelirovanie, 9, no. 1, 2013, 93 - 104 www.nano-journal.ru/images/8/8e/94_pdfsam_Nano15.pdf  elib

   2012
19. D. S. Shirokov, “Quaternion typification of Clifford algebra elements”, Adv. Appl. Clifford Algebr., 22:1 (2012), 243–256 , arXiv: 0806.4299  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 2)  scopus (cited: 7)
20. D. S. Shirokov, “Development of the method of quaternion typification of Clifford algebra elements”, Adv. Appl. Clifford Algebr., 22:2 (2012), 483–497 , arXiv: 0903.3494  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 2)  scopus (cited: 4)
21. D. S. Shirokov, Lectures on Clifford algebras and spinors, Lekts. Kursy NOC, 19, Steklov Math. Inst., RAS, Moscow, 2012 , 180 pp.  mathnet  mathnet  crossref  crossref  zmath
22. N. G. Marchuk, D. S. Shirokov, Vvedenie v teoriyu algebr Klifforda, Fazis, Moskva, 2012 , 590 pp.
23. D. S. Shirokov, “Concepts of trace, determinant and inverse of Clifford algebra elements”, Progress in analysis. Proceedings of the 8th congress of the International Society for Analysis, its Applications, and Computation (ISAAC), Moscow, Russia, August 22–27, 2011. Volume 1., v. 1, eds. Burenkov, V. I. (ed.); Goldman, M. L. (ed.); Laneev, E. B. (ed.); Stepanov, V. D. (ed.), Moscow: Peoples’ Friendship University of Russia (ISBN 978-5-209-04582-3/hbk), 2012, 187-194 , 8 pp., arXiv: 1108.5447  zmath

   2011
24. D. S. Shirokov, “On some relations between spinor and orthogonal groups”, p-Adic Numbers Ultrametric Anal. Appl., 3:3 (2011), 212–218  crossref  mathscinet  zmath
25. D. S. Shirokov, “Quaternion types of Clifford algebra elements, basis-free approach”, Proceedings of 9th International Conference on Clifford Algebras and their Applications in Mathematical Physics (Weimar, Germany, 15–20 July), Bauhaus-University Weimar, 2011, 9 pp. , arXiv: 1109.2322
26. D. S. Shirokov, “Extension of Pauli's theorem to Clifford algebras”, Dokl. Math., 84:2 (2011), 699–701  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 2)  scopus (cited: 7)
27. D. S. Shirokov, “Theorem on the norm of elements of spinor groups”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 165-171  mathnet  crossref

   2010
28. D. S. Shirokov, “A classification of Lie algebras of pseudo-unitary groups in the techniques of Clifford algebras”, Adv. Appl. Clifford Algebr., 20:2 (2010), 411–425 , arXiv: 0705.3368  crossref  mathscinet  zmath  isi (cited: 10)  elib (cited: 4)  scopus (cited: 10)

   2009
29. D. S. Shirokov, “Classification of elements of Clifford algebras according to quaternionic types”, Dokl. Math., 80:1 (2009), 610–612  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 3)  elib (cited: 3)  scopus (cited: 6)

   2008
30. N. G. Marchuk, D. S. Shirokov, “Unitary spaces on Clifford algebras”, Adv. Appl. Clifford Algebr., 18:2 (2008), 237–254 , arXiv: 0705.1641  crossref  mathscinet  zmath  isi (cited: 28)  elib (cited: 21)  scopus (cited: 26)

Presentations in Math-Net.Ru
1. On some solutions of Yang-Mills equations with SU(2) gauge symmetry
D. S. Shirokov
Internaional conference «Modern Mathematical Physics. Vladimirov-95»
November 14, 2018 16:30   
2. Covariantly constant solutions of the Yang-Mills equations
Dmitry Shirokov
New Trends in Mathematical and Theoretical Physics
October 7, 2016 15:20   
3. О построении бинодали для азота как идеального Бозе-газа в пространстве дробной размерности
D. S. Shirokov
Seminar of Laboratory 5 IITP RAS "Integrable structures in statistical and field models"
December 12, 2013 14:00
4. Обобщение теоремы Паули на случай алгебр Клиффорда четной и нечетной размерности
D. S. Shirokov
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
April 25, 2012 14:00
5. Обобщение теоремы Паули на случай алгебр Клиффорда произвольной размерности
D. S. Shirokov
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
December 29, 2011 11:00

Books in Math-Net.Ru
  1. D. S. Shirokov, Lectures on Clifford algebras and spinors, Lekts. Kursy NOC, 19, 2012, 180 с.
    http://mi.mathnet.ru/book1373

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