Feigin Boris Lvovich

Publications in Math-Net.Ru

1. Quantum Toroidal Comodule Algebra of Type $A_{n-1}$ and Integrals of Motion
   
   SIGMA, 18 (2022), 051, 31 pp.
2. Combinatorics of a statistical model constructed from the $2\times n$ square lattice
   
   Funktsional. Anal. i Prilozhen., 51:4 (2017),  72–78
3. Extensions of vertex algebras. Constructions and applications
   
   Uspekhi Mat. Nauk, 72:4(436) (2017),  131–190
4. Integrable systems, shuffle algebras, and Bethe equations
   
   Tr. Mosk. Mat. Obs., 77:2 (2016),  251–306
5. Tableau Formulas for One-Row Macdonald Polynomials of Types $C_n$ and $D_n$
   
   SIGMA, 11 (2015), 100, 21 pp.
6. Commutative Vertex Algebras and Their Degenerations
   
   Funktsional. Anal. i Prilozhen., 48:3 (2014),  24–33
7. 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
8. 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
9. Abelianization of the BGG resolution of representations of the Virasoro algebra
   
   Funktsional. Anal. i Prilozhen., 45:4 (2011),  72–81
10. Kazhdan–Lusztig correspondence for the representation category of the triplet $W$-algebra in logarithmic CFT
    
    TMF, 148:3 (2006),  398–427
11. 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
12. $q$-characters of the tensor products in $\mathbf{sl}_2$-case
    
    Mosc. Math. J., 2:3 (2002),  567–588
13. On the Finitization of the Gordon Identities
    
    Funktsional. Anal. i Prilozhen., 35:1 (2001),  53–61
14. $\widehat{s\ell}(2)\oplus \widehat{s\ell}(2)/\widehat{s\ell}(2)$ 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
15. Truncation of functional relations in the XXZ model
    
    Mosc. Math. J., 1:2 (2001),  145–156
16. Semi-Infinite Realization of Unitary Representations of the $N=2$ Algebra and Related Constructions
    
    TMF, 126:1 (2001),  3–62
17. Free-field resolutions of unitary representations of the $N=2$ Virasoro algebra: II. The butterfly resolution
    
    TMF, 121:2 (1999),  244–257
18. Elliptic Deformations of Current Algebras and Their Representations by Difference Operators
    
    Funktsional. Anal. i Prilozhen., 31:3 (1997),  57–70
19. Cohomology of Nilpotent Subalgebras of the Algebra $\widehat{sl_2}$
    
    Funktsional. Anal. i Prilozhen., 30:4 (1996),  80–83
20. Elliptic Sklyanin Algebras. The Case of Points of Finite Order
    
    Funktsional. Anal. i Prilozhen., 29:2 (1995),  9–21
21. Integrals of motion of classical lattice sine-Gordon system
    
    TMF, 103:3 (1995),  507–528
22. 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
23. Functional Models for Representations of Current Algebras and Semi-Infinite Schubert Cells
    
    Funktsional. Anal. i Prilozhen., 28:1 (1994),  68–90
24. Constructions of Sklyanin Elliptic Algebras and Quantum $R$-Matrices
    
    Funktsional. Anal. i Prilozhen., 27:1 (1993),  37–45
25. Sklyanin elliptic algebras
    
    Funktsional. Anal. i Prilozhen., 23:3 (1989),  45–54
26. Cohomology of Lie groups and Lie algebras
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 21 (1988),  121–209
27. A family of representations of affine Lie algebras
    
    Uspekhi Mat. Nauk, 43:5(263) (1988),  227–228
28. The Lie algebras $\mathfrak{gl}(\lambda)$ and cohomologies of Lie algebras of differential operators
    
    Uspekhi Mat. Nauk, 43:2(260) (1988),  157–158
29. Singular vectors in Verma modules over Kac–Moody algebras
    
    Funktsional. Anal. i Prilozhen., 20:2 (1986),  25–37
30. Additive $K$-theory and crystalline cohomology
    
    Funktsional. Anal. i Prilozhen., 19:2 (1985),  52–62
31. Stable cohomology of the algebra $W_n$ and relations in the algebra $L_1$
    
    Funktsional. Anal. i Prilozhen., 18:3 (1984),  94–95
32. The semi-infinite homology of Kac–Moody and Virasoro Lie algebras
    
    Uspekhi Mat. Nauk, 39:2(236) (1984),  195–196
33. On the cohomology of nilpotent algebras of flows
    
    Dokl. Akad. Nauk SSSR, 271:4 (1983),  813–816
34. Casimir operators in modules over the Virasoro algebra
    
    Dokl. Akad. Nauk SSSR, 269:5 (1983),  1057–1060
35. Verma modules over the virasoro algebra
    
    Funktsional. Anal. i Prilozhen., 17:3 (1983),  91–92
36. Cohomologies of Lie algebras of generalized Jacobi matrices
    
    Funktsional. Anal. i Prilozhen., 17:2 (1983),  86–87
37. Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra
    
    Funktsional. Anal. i Prilozhen., 16:2 (1982),  47–63
38. On the cohomology of certain Lie algebras and superalgebras of vector fields
    
    Uspekhi Mat. Nauk, 37:2(224) (1982),  233–234
39. Homology of the Lie algebra of vector fields on the line
    
    Funktsional. Anal. i Prilozhen., 14:3 (1980),  45–60
40. Cohomology of groups and algebras of flows
    
    Uspekhi Mat. Nauk, 35:2(212) (1980),  225–226
41. Invariant differential operators on the line
    
    Funktsional. Anal. i Prilozhen., 13:4 (1979),  91–92
42. Cohomology of infinite-dimensional Lie algebras and Laplace operators
    
    Funktsional. Anal. i Prilozhen., 12:4 (1978),  1–5
43. Characteristic classes of flags of foliations
    
    Funktsional. Anal. i Prilozhen., 9:4 (1975),  49–56
44. 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


45. Aleksandr Abramovich Belavin (on his 80th birthday)
    
    UFN, 192:10 (2022),  1179–1180
46. My dear friend Andrei Zelevinski
    
    Mosc. Math. J., 15:2 (2015),  398–400
47. Andrei Zelevinski
    
    Mosc. Math. J., 15:2 (2015),  397
48. Sabir Medgidovich Gusein-Zade
    
    Mosc. Math. J., 10:4 (2010),  831–832
49. Mëbius Contest
    
    Mosc. Math. J., 9:2 (2009),  209–210
50. Yuri I. Manin
    
    Mosc. Math. J., 7:1 (2007),  163
51. Serge G. Vlăduţ
    
    Mosc. Math. J., 4:2 (2004),  531–532
52. Alexander Belavin
    
    Mosc. Math. J., 3:1 (2003),  255–256