Crystal bases for \(U_q(osp (1,2r))\)

DOI10.1006/jabr.1998.7591zbMath0918.17009OpenAlexW1987246112MaRDI QIDQ1279923

Yi Ming Zou, Ian M. Musson

Publication date: 7 April 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7591

zbMATH Keywords

tensor productssimple modulescombinatorial structurequantized universal enveloping algebracrystal basesLie superalgebra \(osp(1,2r)\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Superalgebras (17A70)

Related Items (9)

Dual canonical bases for the quantum general linear supergroup ⋮ Quantum supergroups II. Canonical basis ⋮ Quantum super spheres and their transformation groups, representations, and little \(t\)-Jacobi polynomials ⋮ Quantum supergroups. I: Foundations ⋮ Crystal bases for $U_{q}(\Gamma (\sigma _{1},\sigma _{2},\sigma _{3}))$ ⋮ The first fundamental theorem of invariant theory for the orthosymplectic supergroup ⋮ Young tableaux and crystal base for \(U_q(\text{osp}(1|2n))\) ⋮ Crystal bases for Kac-Moody superalgebras ⋮ Crystal bases for the quantum superalgebra $U_q(\mathfrak {gl}(m,n))$

Cites Work

• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• Semisimplicity of 2-graded Lie algebras. II
• Integrable representations of \(U_q(\text{osp}(1,2n))\)
• The crystal base and Littelmann's refined Demazure character formula
• Crystalizing the q-analogue of universal enveloping algebras
• Lie superalgebras
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