The \(q\)-analogue of the alternating group and its representations.

DOI10.1006/jabr.2000.8715zbMath1046.20010arXivmath/9912121OpenAlexW2023264675MaRDI QIDQ5939566

Hideo Mitsuhashi

Publication date: 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9912121

zbMATH Keywords

Hecke algebrassymmetric groupsalternating groupsirreducible representationsbranching rulesfree algebras

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30)

Related Items

Semisimple representations of alternating cyclotomic Hecke algebras., Schur-Weyl reciprocity between the quantum superalgebra and the Iwahori-Hecke algebra, \(\mathbb{Z}_2\)-graded Clifford system in the Hecke algebra of type \(B_n\)., Alternating quiver Hecke algebras, Involutions of Iwahori-Hecke algebras and representations of fixed subalgebras., The local stationary presentation of the alternating groups and the normal form., The irreducible characters of the alternating Hecke algebras, Alternating Subalgebras of Hecke Algebras and Alternating Subgroups of Braid Groups, Quiver Hecke algebras for alternating groups, Generalized statistics on \(S_{n}\) and pattern avoidance, Permutation statistics on the alternating group, Schur–Weyl Reciprocity for theq-Analog of the Alternating Group, A poset structure on the alternating group generated by 3-cycles, A super Frobenius formula for the characters of Iwahori–Hecke algebras

Cites Work

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