Hook Interpolations

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dc.creatorAdin, Ron M.
dc.creatorFrumkin, Avital
dc.creatorRoichman, Yuval
dc.date2001-09-04
dc.date2002-12-31
dc.date.accessioned2026-07-07T04:43:15Z
dc.date.available2026-07-07T04:43:15Z
dc.descriptionThe hook components of $V^{\otimes n}$ interpolate between the symmetric power $\sym^n(V)$ and the exterior power $\wedge^n(V)$. When $V$ is the vector space of $k\times m$ matrices over $\bbc$, we decompose the hook components into irreducible $GL_k(\bbc)\times GL_m(\bbc)$-modules. In particular, classical theorems are proved as boundary cases. For the algebra of square matrices over $\bbc$, a bivariate interpolation is presented and studied.
dc.description23 pages; small changes
dc.identifierhttps://arxiv.org/abs/math/0109023
dc.identifierhttp://arxiv.org/abs/math/0109023
dc.identifierJ. Algebra 258 (2002), 543--562
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62140
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subjectRings and Algebras
dc.titleHook Interpolations
dc.typetext

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