Grothendieck rings of basic classical Lie superalgebras

By Alexander Sergeev, A. P. Veselov. 2007

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The Grothendieck rings of nite dimensional representations of the basic classical Lie superalgebras are explicitly described in terms of the corresponding generalized root systems. We show that they can be interpreted as the subrings in the weight group rings invariant under the action of certain groupoids called super Weyl groupoids.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/924bb0dc514ff8f43847abce131ddd34b4c6d34a