On representations of affine Hecke algebras of type B

Vanessa Miemietz

doi:10.1007/s10468-008-9086-5

On representations of affine Hecke algebras of type B

Vanessa Miemietz

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Ariki’s and Grojnowski’s approach to the representation theory of affine Hecke algebras of type A is applied to type B with unequal parameters to obtain – under certain restrictions on the eigenvalues of the lattice operators – analogous multiplicity-one results and a classification of irreducibles with partial branching rules as in type A.

Original language	English
Pages (from-to)	369-405
Number of pages	37
Journal	Algebras and Representation Theory
Volume	11
Issue number	4
DOIs	https://doi.org/10.1007/s10468-008-9086-5
Publication status	Published - 2008

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10.1007/s10468-008-9086-5

Cite this

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AB - Ariki’s and Grojnowski’s approach to the representation theory of affine Hecke algebras of type A is applied to type B with unequal parameters to obtain – under certain restrictions on the eigenvalues of the lattice operators – analogous multiplicity-one results and a classification of irreducibles with partial branching rules as in type A.

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DO - 10.1007/s10468-008-9086-5

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