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.