Quantum walled Brauer-Clifford superalgebras
DOI10.1016/J.JALGEBRA.2015.04.038zbMath1342.17002arXiv1404.0443OpenAlexW2962797590MaRDI QIDQ259609
Ji Hye Jung, Nicolas Guay, Seok-Jin Kang, Stewart Wilcox, Georgia M. Benkart
Publication date: 17 March 2016
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.0443
knot theoryHecke algebrabead tangle algebracentralizer algebraquantum deformationquantum walled Brauer-Clifford superalgebraqueer Lie superalgebra Q-Schur superalgebra
Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Schur and (q)-Schur algebras (20G43)
Related Items (8)
Cites Work
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- Quantized mixed tensor space and Schur-Weyl duality
- Mixed Schur-Weyl-Sergeev duality for queer Lie superalgebras
- Quantized universal enveloping superalgebra of type \(Q\) and a super- extension of the Hecke algebra
- Standard basis theorem for quantum linear groups
- Centralizer algebras of the mixed tensor representations of quantum group \(U_ q(\text{gl}(n,\mathbb{C}))\)
- Tensor product representations of general linear groups and their connections with Brauer algebras
- On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
- The quantized walled Brauer algebra and mixed tensor space
- Characters of the centralizer algebras of mixed tensor representations of \(GL(r,\mathbb{C})\) and the quantum group \({\mathcal U}_ q(gl(r,\mathbb{C}))\)
- Quantum linear groups and representations of 𝐺𝐿_{𝑛}(𝐹_{𝑞})
- Mixed Tensor Representations of Quantum Superalgebra q(gl(m,n))
- OPERATOR INVARIANTS OF TANGLES, ANDR-MATRICES
- MIXED TENSOR REPRESENTATIONS AND RATIONAL REPRESENTATIONS FOR THE GENERAL LINEAR LIE SUPERALGEBRAS
- An Invariant of Regular Isotopy
- Presenting Queer Schur Superalgebras
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