Classification of finite-dimensional irreducible representations of generalized quantum groups via Weyl groupoids

DOI10.4171/PRIMS/149zbMath1357.17015arXiv1105.0160MaRDI QIDQ2344490

Saeid Azam, Hiroyuki Yamane, Malihe Yousofzadeh

Publication date: 15 May 2015

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0160

zbMATH Keywords

quantum groupsLie superalgebrasNichols algebras

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (8)

Generalized root systems and the affine Lie superalgebra \(\mathrm {G}^{(1)}(3)\) ⋮ On the Harish-Chandra homomorphism for quantum superalgebras ⋮ Bruhat order and nil-Hecke algebras for Weyl groupoids ⋮ On projective modules over finite quantum groups ⋮ Centers of generalized quantum groups ⋮ Representations of quantum affine superalgebras ⋮ Natural elements of center of generalized quantum groups ⋮ Typical irreducible characters of generalized quantum groups

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