Generalized blob algebras and alcove geometry

2002/05/24 by Paul Martin, Paul P Martin, Martin, Paul P +3 · 1 citation
Mathematics · #17B10 #20C08 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:17B10 #msc:20C08

paper · pdf · doi:10.48550/arxiv.math/0205263

45 pages, multiple figures, latex

arxiv created 2002/05/24 · openalex publication_date 2002/05/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article develops an alcove geometric approach to the representation theory of certain affine Hecke algebra quotients generalizing the blob algebra; and gives an exposition of some new representations of these algebras.

Citations

• Decomposition of q-deformed Fock spaces

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• Invariants for isomorphism classes in the category \bcalNT

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