16 citations · 80 across the 35 of their papers we have counts for
38 papers
Irreducibility of Verma modules for symmetrizable Kac-Moody superalgebras
Maria Gorelik
We establish a criterion for the irreducibility of Verma modules over symmetrizable Kac--Moody superalgebras. Our main tool is the Weyl-Kac denominator identity.
(Quasi-)admissible modules over symmetrizable Kac-Moody superalgebras
Maria Gorelik, Victor Kac
The theory of admissible modules over symmetrizable anisotropic Kac-Moody superalgebras, introduced by Kac and Wakimoto in late 80's, is a well-developed subject with many applicat…
On the root system of a Kac-Moody superalgebra
Maria Gorelik, Shay Kinamon Kerbis
In this paper we extend several results about root systems of Kac-Moody algebras to superalgebra context. In particular, we describe the root bases and the sets of imaginary roots.
Matsumoto theorem for skeleta
Maria Gorelik, Vladimir Hinich, Vera Serganova
We present a proof of a generalization of the theorem of H.~Matsumoto on Coxeter groups. Our generalized version is applicable to "graphs admitting geometric realization". The orig…
On simplicity of universal minimal W-algebras
Maria Gorelik, Victor G. Kac
Simplicity of universal minimal quantum affine W-algebras is studied. As an application, we find the values of the center, for which the vacuum module over a superconformal algebra…
Root groupoid and related Lie superalgebras
Maria Gorelik, Vladimir Hinich, Vera Serganova
We introduce a notion of a root groupoid as a replacement of the notion of Weyl group for (Kac-Moody) Lie superalgebras. The objects of the root groupoid classify certain root data…