Grothendieck rings of basic classical Lie superalgebras

Abstract

The Grothendieck rings of finite dimensional representations of the basic classical Lie superalgebras are explicitly described in terms of the corresponding generalised 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 Weyl groupoids.

34 pages, revised version, to appear in Annals of Math

References in corpus (4)

• The Weyl-Brandt groupoid of a Nichols algebra of diagonal type
• A new proof of the Mullineux conjecture
• Deformed quantum Calogero-Moser problems and Lie superalgebras
• Berezinians, Exterior Powers and Recurrent Sequences

Cited by in corpus (1)

• Natural Elements of Center of Generalized Quantum Groups