The irreducible characters of the alternating Hecke algebras

DOI10.1007/s10801-017-0772-4zbMath1494.20008arXiv1605.02859OpenAlexW2964057064MaRDI QIDQ1745382

Andrew Mathas, Leah Neves

Publication date: 17 April 2018

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02859

zbMATH Keywords

charactersalternating groupsIwahori-Hecke algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05)

Related Items (1)

Quiver Hecke algebras for alternating groups

Uses Software

• SageMath

Cites Work

• Seminormal forms and cyclotomic quiver Hecke algebras of type \(A\).
• Quiver Hecke algebras for alternating groups
• A rational-function identity related to the Murnaghan-Nakayama formula for the characters of \(S_ n\)
• Representations of Coxeter groups and Hecke algebras
• A Frobenius formula for the characters of the Hecke algebras
• On the irreducible characters of Hecke algebras
• \(\mathbb{Z}_2\)-graded Clifford system in the Hecke algebra of type \(B_n\).
• On Young's orthogonal form and the characters of the alternating group
• Minimal length elements of extended affine Weyl groups
• The \(q\)-analogue of the alternating group and its representations.
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