\(q\)-rook monoid algebras, Hecke algebras, and Schur-Weyl duality.

DOI10.1023/B:JOTH.0000024623.99412.13zbMath1142.20300arXivmath/0401330OpenAlexW1970570744MaRDI QIDQ1781377

Arun Ram, Thomas Halverson

Publication date: 24 June 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0401330

zbMATH Keywords

irreducible representationsaffine Hecke algebrasmonoid algebrasIwahori-Hecke algebrasrook monoidsSchur-Weyl type dualities

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Ordinary and skew polynomial rings and semigroup rings (16S36) Semigroup rings, multiplicative semigroups of rings (20M25)

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