Admissible Pictures and Littlewood–Richardson Crystals

DOI10.1080/00927872.2010.512590zbMath1235.05148arXiv0908.2366OpenAlexW2594337632MaRDI QIDQ3113837

Toshiki Nakashima, Miki Shimojo

Publication date: 25 January 2012

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

Full work available at URL: https://arxiv.org/abs/0908.2366

zbMATH Keywords

picturesLittlewood-Richardson rulesYoung diagramscrystals

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (2)

RSK type correspondence of pictures and Littlewood-Richardson crystals ⋮ Admissible Pictures andU_𝔮(𝔤𝔩(m,n))–Littlewood–Richardson Tableaux

Cites Work

• A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Specht series for skew representations of symmetric groups
• A Littlewood-Richardson miscellany
• Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras
• Crystal base and a generalization of the Littlewood-Richardson rule for the classical Lie algebras
• Crystalizing the q-analogue of universal enveloping algebras
• Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$

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