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Lyakhovsky, Vladimir Dmitrievich
(1942–2020)
Statistics Math-Net.Ru
Total publications: 25
Scientific articles: 25

Number of views:
This page:2106
Abstract pages:8675
Full texts:3337
References:1306
Professor
Doctor of physico-mathematical sciences (1993)
Speciality: 01.04.02 (Theoretical physics)
Birth date: 15.07.1942
Website: http://hep.phys.spbu.ru/staff/lyakhovsky_r.htm
   
Main publications:
  • Gruppy simmetrii i elementarnye chastitsy : ucheb. pos. / V. D. Lyakhovskii, A. A. Bolokhov ; LGU im. A. A. Zhdanova. - Leningrad : Izd-vo LGU, 1983. - 336 s.

https://www.mathnet.ru/eng/person22267
https://ru.wikipedia.org/wiki/Lyakhovskii,_Vladimir_Dmitrievich
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/231701
https://elibrary.ru/author_items.asp?authorid=6303

Publications in Math-Net.Ru Citations
2019
1. V. D. Lyakhovsky, “Chebyshev polynomials and the proper decomposition of functions”, TMF, 200:2 (2019),  259–268  mathnet  mathscinet  elib; Theoret. and Math. Phys., 200:2 (2019), 1147–1157  isi  scopus 1
2017
2. V. D. Lyakhovsky, “Numerical constructions involving Chebyshev polynomials”, TMF, 190:2 (2017),  354–365  mathnet  mathscinet  elib; Theoret. and Math. Phys., 190:2 (2017), 303–314  isi  scopus 2
2015
3. V. D. Lyakhovsky, O. V. Postnova, “Generalized Pascal's triangles and singular elements of modules of Lie algebras”, TMF, 185:1 (2015),  139–150  mathnet  mathscinet  elib; Theoret. and Math. Phys., 185:1 (2015), 1481–1491  isi  scopus
4. V. D. Lyakhovsky, A.A. Nazarov, P. I. Kakin, “Splints of root systems for special Lie subalgebras”, TMF, 185:1 (2015),  127–138  mathnet  mathscinet  elib; Theoret. and Math. Phys., 185:1 (2015), 1471–1480  isi  scopus 2
5. V. D. Lyakhovsky, “Chebyshev polynomials for a three-dimensional algebra”, TMF, 185:1 (2015),  118–126  mathnet  mathscinet  elib; Theoret. and Math. Phys., 185:1 (2015), 1462–1470  isi  scopus 3
2013
6. V. D. Lyakhovsky, “Multivariate Chebyshev polynomials in terms of singular elements”, TMF, 175:3 (2013),  419–428  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 175:3 (2013), 797–805  isi  elib  scopus 5
7. V. D. Lyakhovsky, “Properties of maximums of the multiplicity function”, TMF, 174:1 (2013),  99–108  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 174:1 (2013), 86–94  isi  elib  scopus
2012
8. P. P. Kulish, V. D. Lyakhovsky, O. V. Postnova, “Multiplicity function for tensor powers of modules of the $A_n$ algebra”, TMF, 171:2 (2012),  283–293  mathnet  mathscinet  elib; Theoret. and Math. Phys., 171:2 (2012), 666–674  isi  elib  scopus 16
9. V. D. Lyakhovsky, A. A. Nazarov, “Fan, splint, and branching rules”, Zap. Nauchn. Sem. POMI, 398 (2012),  162–178  mathnet  mathscinet; J. Math. Sci. (N. Y.), 192:1 (2013), 91–100  scopus 1
2011
10. V. D. Lyakhovsky, A. A. Nazarov, “Recursive properties of branching and BGG resolution”, TMF, 169:2 (2011),  218–228  mathnet  mathscinet; Theoret. and Math. Phys., 169:2 (2011), 1551–1560  isi  scopus 1
2010
11. M. Ilyin, P. Kulish, V. Lyakhovsky, “Folded fans and string functions”, Zap. Nauchn. Sem. POMI, 374 (2010),  197–212  mathnet; J. Math. Sci. (N. Y.), 168:6 (2010), 871–880  scopus 5
2009
12. M. Ilyin, P. Kulish, V. Lyakhovsky, “On the properties of branching coefficients for affine Lie groups”, Algebra i Analiz, 21:2 (2009),  52–70  mathnet  mathscinet  zmath; St. Petersburg Math. J., 21:2 (2010), 203–216  isi  scopus 11
2008
13. Petr Kulish, Vladimir Lyakhovsky, “String Functions for Affine Lie Algebras Integrable Modules”, SIGMA, 4 (2008), 085, 18 pp.  mathnet  mathscinet  zmath  isi  scopus 5
2007
14. V. D. Lyakhovsky, “Parabolic twists for linear algebras $A_{n-1}$”, Zap. Nauchn. Sem. POMI, 347 (2007),  187–213  mathnet  mathscinet; J. Math. Sci. (N. Y.), 151:2 (2008), 2907–2923  scopus
2006
15. V. D. Lyakhovsky, “Quantum duality in quantum deformations”, TMF, 148:1 (2006),  112–125  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 148:1 (2006), 968–979  isi  scopus 2
2004
16. V. D. Lyakhovsky, “On classical $r$-matrices with parabolic carrier”, Zap. Nauchn. Sem. POMI, 317 (2004),  122–141  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 136:1 (2006), 3596–3606 1
2002
17. D. N. Ananikyan, P. P. Kulish, V. D. Lyakhovsky, “Full chains of twists for symplectic algebras”, Algebra i Analiz, 14:3 (2002),  27–54  mathnet  mathscinet  zmath; St. Petersburg Math. J., 14:3 (2003), 385–404 9
1994
18. V. D. Lyakhovsky, “The role of solvable groups in quantization of Lie algebras”, Zap. Nauchn. Sem. POMI, 209 (1994),  168–178  mathnet  mathscinet  zmath; J. Math. Sci., 83:1 (1997), 106–112
1992
19. V. D. Lyakhovsky, A. I. Mudrov, “Spinor structures on homogeneous spaces”, TMF, 92:1 (1992),  13–23  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 92:1 (1992), 704–710  isi
1990
20. V. D. Lyakhovsky, I. A. Filanovskii, “Branching rules for representations of classical Lie groups”, TMF, 84:1 (1990),  3–12  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 84:1 (1990), 675–682  isi
21. D. V. Vassilevich, V. D. Lyakhovsky, N. N. Shtykov, “De Witt–Schwinger coefficients for projective and Grassmann manifolds”, TMF, 83:1 (1990),  3–13  mathnet  mathscinet; Theoret. and Math. Phys., 83:1 (1990), 339–346  isi 1
1988
22. D. V. Vassilevich, V. D. Lyakhovsky, N. N. Shtykov, “Rescaling of the metric, invariant operators, and spontaneous compactification”, TMF, 77:1 (1988),  88–96  mathnet  mathscinet; Theoret. and Math. Phys., 77:1 (1988), 1064–1070  isi 2
1986
23. D. V. Vassilevich, V. D. Lyakhovsky, “Method of special embeddings for grand unification models”, TMF, 66:3 (1986),  350–359  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 66:3 (1986), 231–237  isi 3
24. D. V. Vassilevich, V. D. Lyakhovsky, “Algebraic method of constructing and analyzing spontaneous compactification models”, TMF, 66:2 (1986),  206–215  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 66:2 (1986), 135–141  isi
1979
25. V. D. Lyakhovsky, “Stability of semisimple superalgebras”, TMF, 38:1 (1979),  115–120  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 38:1 (1979), 78–81

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