4 papers · 1 filter
(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 Grothendieck ring of a quasireductive Lie superalgebra
Maria Gorelik, Vera Serganova, Alexander Sherman
Given a Lie superalgebra and a maximal quasitoral subalgebra , we consider properties of restrictions of -modules to . This…
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…
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…