Combinatorial Gelfand models for some semigroups and q-rook monoid algebras

DOI10.1017/S0013091507001216zbMath1201.20066arXiv0710.1972OpenAlexW1989696292MaRDI QIDQ3643352

Ganna Kudryavtseva, Volodymyr Mazorchuk

Publication date: 11 November 2009

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.1972

zbMATH Keywords

Hecke algebrasinvolutionsinverse semigroupsrook monoidscombinatorial Gelfand modelssemigroup algebras of finite semigroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Semigroup rings, multiplicative semigroups of rings (20M25) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Inverse semigroups (20M18) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (5)

Jucys-Murphy elements and Grothendieck groups for generalized rook monoids ⋮ Combinatorial Gelfand models for semisimple diagram algebras. ⋮ Set-partition tableaux and representations of diagram algebras ⋮ Gelfand models for diagram algebras ⋮ \(G(\ell,k,d)\)-modules via groupoids

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