Mixed Tensor Representations of Quantum Superalgebra q(gl(m,n))

DOI10.1080/00927870601115682zbMath1155.17005OpenAlexW1984770858MaRDI QIDQ3435924

Dongho Moon, Chanyoung Lee Shader

Publication date: 8 May 2007

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870601115682

zbMATH Keywords

quantum superalgebracentralizer algebramaximal vectors

Mathematics Subject Classification ID

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)

Related Items (2)

Bimodule structure of the mixed tensor product over \(\mathcal{U}_q s \ell(2 | 1)\) and quantum walled Brauer algebra ⋮ Quantum walled Brauer-Clifford superalgebras

Cites Work

• On a theorem of Benson and Curtis
• Universal \(R\)-matrix for quantized (super)algebras
• Tensor product representations of general linear groups and their connections with Brauer algebras
• MIXED TENSOR REPRESENTATIONS AND RATIONAL REPRESENTATIONS FOR THE GENERAL LINEAR LIE SUPERALGEBRAS
• HIGHEST WEIGHT VECTORS OF IRREDUCIBLE REPRESENTATIONS OF THE QUANTUM SUPERALGEBRA μ_q(gl(m, n))
• Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$

This page was built for publication: Mixed Tensor Representations of Quantum Superalgebra _q(gl(m,n))