Young tableaux and crystal base for \(U_q(\text{osp}(1|2n))\)

DOI10.1007/S11425-009-0080-0zbMath1186.17009OpenAlexW2167425489MaRDI QIDQ963701

Junli Liu, Shilin Yang

Publication date: 13 April 2010

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0080-0

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Cites Work

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• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Crystal bases for \(U_q(osp (1,2r))\)
• Tensor product representations for orthosymplectic Lie superalgebras
• Integrable representations of \(U_q(\text{osp}(1,2n))\)
• Crystal bases and tensor product decompositions of \(U_ q(G_ 2)\)- modules
• 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
• Canonical Bases Arising from Quantized Enveloping Algebras
• Crystal bases for Kac-Moody superalgebras

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