Hook interpolations

Ron M. Adin, Avital Frumkin, Yuval Roichman

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


The hook components of V⊗n interpolate between the symmetric power Symn(V) and the exterior power ∧n(V). When V is the vector space of k × m matrices over C, we decompose the hook components into irreducible GLk(C) × GLm(C)-modules. In particular, classical theorems are proved as boundary cases. For the algebra of square matrices over C, a bivariate interpolation is presented and studied.

Original languageEnglish
Pages (from-to)543-562
Number of pages20
JournalJournal of Algebra
Issue number2
StatePublished - 15 Dec 2002


FundersFunder number
Bar-Ilan University
Israel Academy of Sciences and Humanities
Israel Science Foundation


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