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Isaev Aleksei Petrovich

Publications in Math-Net.Ru

  1. The split $5$-Casimir operator and the structure of $\wedge \mathfrak{ad}^{\otimes 5}$

    Izv. RAN. Ser. Mat., 89:1 (2025),  18–29
  2. $3$-split Casimir operator of the $sl(M|N)$ and $osp(M|N)$ simple Lie superalgebras in the representation $\operatorname{ad}^{\otimes 3}$ and the Vogel parameterization

    TMF, 221:1 (2024),  154–175
  3. Generalization of the Bargmann–Wigner construction for infinite-spin fields

    TMF, 216:1 (2023),  76–105
  4. Split Casimir operator and solutions of the Yang–Baxter equation for the $osp(M|N)$ and $s\ell(M|N)$ Lie superalgebras, higher Casimir operators, and the Vogel parameters

    TMF, 210:2 (2022),  259–301
  5. Projectors on invariant subspaces of representations $\operatorname{ad}^{\otimes2}$ of Lie algebras $so(N)$ and $sp(2r)$ and Vogel parameterization

    TMF, 206:1 (2021),  3–22
  6. Massless Infinite Spin (Super)particles and Fields

    Trudy Mat. Inst. Steklova, 309 (2020),  54–65
  7. Polarization tensors for massive arbitrary-spin particles and the Behrends–Fronsdal projection operator

    TMF, 198:1 (2019),  101–112
  8. 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
  9. Orthogonal polynomials, $6j$-symbols and statistical weights of SOS models

    Zap. Nauchn. Sem. POMI, 465 (2017),  105–134
  10. SOS-representation for the $SL(2,\mathbb C)$-invariant $R$-operator and Feynman diagrams

    Zap. Nauchn. Sem. POMI, 465 (2017),  82–104
  11. Fusion procedure for the Brauer algebra

    Algebra i Analiz, 22:3 (2010),  142–154
  12. Functional equations for transfer-matrix operators in open Hecke chain models

    TMF, 150:2 (2007),  219–236
  13. On R-Matrix Representations of Birman–Murakami–Wenzl Algebras

    Trudy Mat. Inst. Steklova, 246 (2004),  147–153
  14. BRST Operator for Quantum Lie Algebras: Relation to the Bar Complex

    TMF, 139:1 (2004),  29–44
  15. BRST Operator for Quantum Lie Algebras and Differential Calculus on Quantum Groups

    TMF, 129:2 (2001),  298–316
  16. Paragrassmann differential calculus

    TMF, 94:2 (1993),  213–231
  17. The Green–Schwarz superstring as an asymmetric model of a chiral field

    TMF, 81:3 (1989),  420–433
  18. Fermionic string model in spaces of Lie groups

    TMF, 71:3 (1987),  395–409
  19. An approach to the calculation of many-loop massless Feynman integrals

    TMF, 62:3 (1985),  345–358
  20. Integrals of the motion of a closed relativistic string

    TMF, 54:2 (1983),  209–218
  21. Equations for path mean values in non-Abelian gauge theory

    TMF, 49:3 (1981),  307–319

  22. Dmitrii Igorevich Kazakov (on his 70th birthday)

    UFN, 191:12 (2021),  1403–1404


© Steklov Math. Inst. of RAS, 2025