The modular branching rule for affine Hecke algebras of type A

2008/08/28 by Ariki, Susumu, Nicolas Jacon, Jacon, Nicolas +3 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.0808.3915

42 pages, last version of arXiv:1003.4838 and arXiv:0808.3915.

openalex publication_date 2008/08/28 · arxiv created 2010/04/22 · arxiv updated 2010/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For the affine Hecke algebra of type A at roots of unity, we make explicit the correspondence between geometrically constructed simple modules and combinatorially constructed simple modules and prove the modular branching rule. The latter generalizes work by Vazirani.

Citations

• The modular branching rule for affine Hecke algebras of type A

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• The modular branching rule for affine Hecke algebras of type A

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