Quantized mixed tensor space and Schur-Weyl duality

DOI10.2140/ant.2013.7.1121zbMath1290.17012arXiv0810.1227OpenAlexW2138992313MaRDI QIDQ380357

Friederike Stoll, Richard Dipper, Stephen R. Doty

Publication date: 13 November 2013

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1227

zbMATH Keywords

Schur-Weyl dualitymixed tensor spacewalled Brauer algebrarational q-Schur algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Schur and (q)-Schur algebras (20G43)

Related Items (13)

A cell filtration of mixed tensor space ⋮ Integral Schur-Weyl duality for partition algebras ⋮ On Schur algebras and related algebras. VI: Some remarks on rational and classical Schur algebras. ⋮ Bimodule structure of the mixed tensor product over \(\mathcal{U}_q s \ell(2 | 1)\) and quantum walled Brauer algebra ⋮ Quantum walled Brauer algebra: commuting families, Baxterization, and representations ⋮ A bideterminant basis for a reductive monoid ⋮ Web bases for the general linear groups ⋮ The representations of quantized walled Brauer algebras ⋮ The quantized walled Brauer algebra and mixed tensor space ⋮ Dominant dimension and almost relatively true versions of Schur's theorem. ⋮ Decomposition numbers of quantized walled Brauer algebras. ⋮ Symmetrizer for the Quantized Walled Brauer Algebras ⋮ Quantum walled Brauer-Clifford superalgebras

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