Publications
"On the Duflo-Serganova functor for the queer Lie superalgebras", M. Gorelik, A. Sherman, to appear in Advances in Mathematics.
"On the character ring of a quasireductive Lie superalgebra",accepted to Israel Journal of Math.
"On modified extension graphs of a fixed atypicality",to appear in J. of Algebra. pdf-file
"Construction of matryoshka nested indecomposable N-replications of Kac-modules of quasi-reductive Lie superalgebras, including the sl(m/n) and osp(2/2n) series"" J.~Thierry-Mieg, P.~D.~Jarvis, J.~Germoni in SciPost Phys. Proc. 14, 045 (2023) pdf-file
"Gruson-Serganova character formulas and the Duflo-Serganova cohomology functor"",M. Gorelik, Th. Heidersdorf, J. Reine Angew. Math. 798 (2023), 1-54. pdf-file
"The Duflo-Serganova functor, vingt ans apre"s"",M.~Gorelik, C.~Hoyt, V.~Serganova, A.~Sherman, Journal of the Indian Institute of Science, 102, 961-1000 (2022). pdf-file
"Snowflake modules and Enright functor for Kac-Moody superalgebras"", M.~Gorelik, V.~Serganova, Algebra and Number Theory, 16 (2022), no. 4, 839-879. pdf-file
"Semisimplicity of the DS- functor for the orthosymplectic Lie superalgebra"", M.~Gorelik, Th.~Heidersdorf, Advances in Math. 394 (2022). pdf-file
"Simple bounded highest weight modules of basic classical Lie superalgebras"", M.~Gorelik, D.~Grantcharov, Transformation Groups 26(2021). pdf-file
"Integrable modules over affine Lie superalgebras sl(1|n)^(1)"",M.~Gorelik, V.~Serganova,Comm. Math. Phys. 364 (2018), no. 2, 635-654. pdf-file
"Generalized reflection root systems",M.~Gorelik, A.~Shaviv,J. Algebra 491 (2017), 490-516. pdf- file
Bounded highest weight modules of osp(1,2n), ),", D. Grantcharov, M. Gorelik, T. Ferguson in "Lie algebras, Lie superalgebras, vertex algebras and related topics" 135-144, Proc. Symp. Pure Math. {\bf 92}, AMS, 2016. pdf-file
Characters of (relatively) integrable modules over affine Lie superalgebras, JJM, September 2015, Volume 10, Issue 2, pp 135-235 pdf-file
Q-type Lie superalgebras, in collaboration with D. Grantcharov, in Advances in Lie Superalgebras, Springer INdAM, vol. 7, 2013, 67-91. pdf-file
Bounded highest weight modules over q(n), in collaboration with D. Grantcharov, IMRN (2013). pdf-file
Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs, in collaboration with V. Kac, P. M\"oseneder Frajria, P. Papi, Japan. J. Math., 7, (2012), no.1, 41-134. pdf-file
Denominator identity for affine Lie superalgebras with zero dual Coxeter number, in collaboration with S. Reif, Algebra and Number Theory, 6 (2012), no. 5, 1043-1059. pdf-file
Weyl denominator identity for the affine Lie superalgebra gl(2|2)^ preprint, arXiv: 1007.4305. pdf-file
Weyl denominator identity for affine Lie superalgebras with non-zero dual Coxeter number, J. of Algebra 337, (2011), 50-62. pdf-file
Weyl denominator identity for finite-dimensional Lie superalgebras, in Highlights in Lie algebraic methods, 167-188 Progr. Math., 295, Birkh\"auser/Springer, New York, 2012. pdf-file
On complete reducibility of infinite-dimensional Lie algebras, in collaboration with V. Kac, Adv. in Math., 226, no. 2, (2011), 1911-1972 pdf-file
On representations of the affine superalgebra q(n)^(2), in collaboration with V. Serganova, Moscow Math. Journal 8, no. 1, (2008), 91--109. ps-file
Characters of highest weight modules over affine Lie algebras are meromorphic functions, in collaboration with V. Kac, IMRN (2007) Id: rnm014. ps-file
On the generic Verma module at the critical level over affine Lie superalgebras, IMRN (2007).Id: rnm079. pdf-file
On simplicity of vacuum modules, in collaboration with V. Kac, Adv. Math. 211, 2, (2007), 621-677. pdf-file
Shapovalov determinants of Q-type Lie superalgebras, IMRP (2006), Art. Id. 96895 pdf-file
Shapovalov forms for Poisson Lie superalgebras, in collaboration with V. Serganova, in Non-commutative geometry and representation theory in mathematical physics, Cont. Math. {\bf 391}, AMS, Providence, RI, 2005, p. 111-121. pdf-file
Kac's construction of the centre of $U(g)$ for Lie superalgebras, J. of Non-linear Mathematical Physics, {\bf 11}, no. 3 (2004), p. 325--347., pdf-file
Strongly typical representations of the basic classical Lie superalgebras, Journal of AMS, 15, 1(2002), 167-184, pdf-file
Annihilation theorem and Separation theorem for basic classical Lie superalgebras, Journal of AMS, 15, 1 (2002), 113-165, pdf-file
The centre of simple P-type Lie superalgebra, J. Algebra, 246 (2001), 414-428, pdf-file
The minimal primitive ideals for the Lie superalgebra osp(1,2l), in collaboration with E. Lanzmann, in Advances in Mathematics, 154, 2 (2000), 333-366, pdf-file
On the ghost centre of Lie superalgebras, Annales Institut Fourier, t. 50 (2000), 1745-1764, pdf-file
The prime spectrum of the quantum Bruhat cell translate, J. Algebra 227 (2000), 211-253, pdf-file
The annihilation theorem for the completely reducible Lie superalgebras, in collaboration with E. Lanzmann, in Inventiones Math., 137 (1999), 651-680, pdf-file
The annihilation theorem for Lie superalgebra osp(1,2l), in collaboration with E. Lanzmann, in C. R. Acad. Sci. Paris, 327 (1998), 237-242.
The prime spectrum of a quantum analogue of the ring of regular functions on the open Bruhat cell translate, C. R. Acad. Sci. Paris 325 (1997), 577-582,