2007/04/18 by A. N. Sergeev, Sergeev, A. N., А. П. Веселов +1
Mathematics · Physics and Astronomy · #17B10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.0704.2250
openalex publication_date 2007/04/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.