On tensor spaces for rook monoid algebras

DOI10.1007/s10114-016-5546-8zbMath1353.20033arXiv1411.6120OpenAlexW1780504960MaRDI QIDQ287978

Zhan Kui Xiao

Publication date: 23 May 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6120

zbMATH Keywords

symmetric groupgeneral linear groupSchur-Weyl dualityrook monoidtensor space

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representation theory for linear algebraic groups (20G05) Inverse semigroups (20M18) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (4)

A subsemigroup of the rook monoid ⋮ Alternating submodules for partition algebras, rook algebras, and rook-Brauer algebras ⋮ A lift of West's stack-sorting map to partition diagrams ⋮ THE ANNIHILATOR OF TENSOR SPACE IN THE -ROOK MONOID ALGEBRA

Cites Work

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• The Bruhat decomposition, Tits system and Iwahori ring for the monoid of matrices over a finite field
• Representations of the rook monoid.
• Cellular algebras
• The second fundamental theorem of invariant theory for the orthogonal group.
• On presentations of Brauer-type monoids.
• Cellular algebras and inverse semigroups.
• ON THE REPRESENTATION THEORY OF PARTIAL BRAUER ALGEBRAS
• Representations of the Rook-Brauer Algebra
• A Specht module analog for the rook monoid

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