Tensor product of crystal bases for \(U_q(\mathfrak{gl}(m,n))\)-modules

DOI10.1007/PL00005591zbMath0991.17012OpenAlexW1995150041MaRDI QIDQ5961011

Jae-Hoon Kwon, Seok-Jin Kang

Publication date: 22 April 2002

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00005591

zbMATH Keywords

quantum groupquantized enveloping algebraLie superalgebratensor producttableaucrystal basisinsertion schemeLittlewood-Richardson

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (13)

Kirillov-Reshetikhin modules of generalized quantum groups of type \(A\) ⋮ Insertion Scheme for the Classical Lie Algebras ⋮ Super duality and crystal bases for quantum ortho-symplectic superalgebras. II ⋮ Crystal graphs for Lie superalgebras and Cauchy decomposition ⋮ Crystal base of the negative half of the quantum superalgebra \(U_q( \mathfrak{gl}(m | n))\) ⋮ Littlewood identity and crystal bases ⋮ \(R\) matrix for generalized quantum group of type \(A\) ⋮ Rational semistandard tableaux and character formula for the Lie superalgebra \(\widehat{\mathfrak{gl}}_{\infty|\infty}\) ⋮ Crystal Graphs and the Combinatorics of Young Tableaux ⋮ Differential operators and crystals of extremal weight modules ⋮ Admissible Pictures andU_𝔮(𝔤𝔩(m,n))–Littlewood–Richardson Tableaux ⋮ Crystal graphs for general linear Lie superalgebras and quasi-symmetric functions ⋮ Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux

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