THE ANNIHILATOR OF TENSOR SPACE IN THE -ROOK MONOID ALGEBRA
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Publication:4975595
DOI10.1017/S0004972716001404zbMath1475.20094OpenAlexW2594479019MaRDI QIDQ4975595
Publication date: 7 August 2017
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0004972716001404
Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representation of semigroups; actions of semigroups on sets (20M30)
Cites Work
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- On tensor spaces for rook monoid algebras
- On tensor spaces for Birman-Murakami-Wenzl algebras
- The Brauer category and invariant theory
- Strongly multiplicity free modules for Lie algebras and quantum groups
- The Bruhat decomposition, Tits system and Iwahori ring for the monoid of matrices over a finite field
- The Iwahori algebra of \(\mathbf M_n(\mathbf F_q)\). A presentation and a representation on tensor space.
- Representations of the \(q\)-rook monoid.
- \(q\)-rook monoid algebras, Hecke algebras, and Schur-Weyl duality.
- Schur-Weyl reciprocity for Ariki-Koike algebras
- Representations of the rook monoid.
- Character formulas for \(q\)-rook monoid algebras
- Cellular algebras
- The second fundamental theorem of invariant theory for the orthogonal group.
- Cellular algebras and inverse semigroups.
- Representation theory of \(q\)-rook monoid algebras.
- Schur-Weyl reciprocity between quantum groups and Hecke algebras of type \(G(r,1,n)\)
- A Specht module analog for the rook monoid
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