Grothendieck rings of basic classical Lie superalgebras

DOI10.4007/annals.2011.173.2.2zbMath1278.17006arXiv0704.2250OpenAlexW2158797216MaRDI QIDQ640752

Alexander P. Veselov, Alexander Sergeev

Publication date: 20 October 2011

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2250

zbMATH Keywords

representationsLie superalgebrasGrothendieck ring

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Grothendieck groups (category-theoretic aspects) (18F30) (K_0) of other rings (19A49)

Related Items (14)

Canonical bilinear form and Euler characters ⋮ On the Harish-Chandra homomorphism for quantum superalgebras ⋮ Bruhat order and nil-Hecke algebras for Weyl groupoids ⋮ Gruson-Serganova character formulas and the Duflo-Serganova cohomology functor ⋮ Grothendieck rings of Queer Lie superalgebras ⋮ Centers of generalized quantum groups ⋮ The Weyl groupoids of \(\mathfrak{sl}(m | n)\) and \(\mathfrak{osp}(r | 2 n)\) ⋮ The Duflo-Serganova functor, vingt ans après ⋮ Euler characters and super Jacobi polynomials ⋮ Natural elements of center of generalized quantum groups ⋮ On rings of supersymmetric polynomials ⋮ Grothendieck rings for Lie superalgebras and the Duflo-Serganova functor ⋮ Lie superalgebras and Calogero-Moser-Sutherland systems ⋮ Jantzen filtration and strong linkage principle for modular Lie superalgebras

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