A Basis for the GL_n Tensor Product Algebra

Simple item page
dc.creatorHowe, Roger E.
dc.creatorTan, Eng Chye
dc.creatorWillenbring, Jeb F.
dc.date2004-07-27
dc.date2005-11-06
dc.date.accessioned2026-07-07T06:38:42Z
dc.date.available2026-07-07T06:38:42Z
dc.descriptionThis paper focuses on the $GL_n$ tensor product algebra, which encapsulates the decomposition of tensor products of arbitrary finite dimensional irreducible representations of $GL_n$. We will describe an explicit basis for this algebra. This construction relates directly with the combinatorial description of Littlewood-Richardson coefficients in terms of Littlewood-Richardson tableaux. Philosophically, one may view this construction as a recasting of the Littlewood-Richardson rule in the context of classical invariant theory.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0407468
dc.identifierhttp://arxiv.org/abs/math/0407468
dc.identifierAdvances in Mathematics; Vol 196/2 pp 531-564 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100827
dc.subjectRepresentation Theory
dc.titleA Basis for the GL_n Tensor Product Algebra
dc.typetext

Files

Collections

arXiv