Generalized Burnside algebra of type B_{n}

DOI10.31801/cfsuasmas.599246zbMath1489.20020arXiv1410.8390OpenAlexW2982171747MaRDI QIDQ5083624

Himmet Can, Hasan Arslan

Publication date: 20 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8390

zbMATH Keywords

Burnside algebraorthogonal primitive idempotentsMantaci-Reutenauer algebracuspidal class

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Frobenius induction, Burnside and representation rings (19A22)

Cites Work

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• A decomposition of the descent algebra of a finite Coxeter group
• Generalized descent algebra and construction of irreducible characters of hyperoctahedral groups. With an appendix by Pierre Baumann and Christophe Hohlweg.
• Representation theory of Mantaci-Reutenauer algebras.
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• On Reflection Subgroups of Finite Coxeter Groups
• A generalization of solomon’s algebra for hyperoctahedral groups and other wreath products
• On pointwise conjugacy of distinguished coset representatives in Coexeter groups

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