2134/15215 A.N. Sergeev A.N. Sergeev Alexander Veselov Alexander Veselov Grothendieck rings of basic classical Lie superalgebras Loughborough University 2014 Grothendieck ring Lie superalgebras representations Mathematical Sciences not elsewhere classified 2014-07-16 15:12:47 Journal contribution https://repository.lboro.ac.uk/articles/journal_contribution/Grothendieck_rings_of_basic_classical_Lie_superalgebras/9388025 The Grothendieck rings of finite 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.