Admissible Pictures andU𝔮(𝔤𝔩(m,n))–Littlewood–Richardson Tableaux

DOI10.1080/00927872.2011.639038zbMath1268.05233arXiv1005.3164OpenAlexW2963701150MaRDI QIDQ2839104

Ji Hye Jung, Seok-Jin Kang, Young-Wook Lyoo

Publication date: 4 July 2013

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

Full work available at URL: https://arxiv.org/abs/1005.3164

zbMATH Keywords

Littlewood-Richardson coefficientsadmissible orders\(U_q(\mathfrak {gl}(m, n))\)-Littlewood-Richardson tableaux\(U_q(\mathfrak {gl}(r))\)-Littlewood-Richardson tableauxadmissible pictures

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

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• A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence
• Specht series for skew representations of symmetric groups
• A Littlewood-Richardson miscellany
• Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras
• Admissible Pictures and Littlewood–Richardson Crystals
• Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$
• Tensor product of crystal bases for \(U_q(\mathfrak{gl}(m,n))\)-modules

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