Involutions of Iwahori-Hecke algebras and representations of fixed subalgebras

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dc.creatorMitsuhashi, Hideo
dc.date2008-10-22
dc.date.accessioned2026-07-07T10:12:23Z
dc.date.available2026-07-07T10:12:23Z
dc.descriptionWe establish branching rules between some Iwahori-Hecke algebra of type B and their subalgebras which are defined as fixed subalgebras by involutions including Goldman involution. The Iwahori-Hecke algebra of type D is one of such fixed subalgebras. We also obtain branching rules between those fixed subalgebras and their intersection subalgebra. We determine basic sets of irreducible representations of those fixed subalgebras and their intersection subalgebra by making use of generalized Clifford theory.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0810.3981
dc.identifierhttp://arxiv.org/abs/0810.3981
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172169
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject20C08
dc.titleInvolutions of Iwahori-Hecke algebras and representations of fixed subalgebras
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