Weak quantum Borcherds superalgebras and their representations

DOI10.1063/1.2436732zbMath1121.17010OpenAlexW2036824747MaRDI QIDQ3442213

Lixia Ye, Fang Li

Publication date: 16 May 2007

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

Full work available at URL: https://doi.org/10.1063/1.2436732

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 (4)

The extension of a quantized Borcherds superalgebra by a Hopf algebra ⋮ Extensions of quantum enveloping algebras ⋮ Weak Hopf algebras corresponding to quantum algebras \(U_q(f(K,H))\) ⋮ Lusztig symmetries and Poincare-Birkhoff-Witt basis for $\mathfrak {wU}_{r, s}^{\mathrm{d}}({\rm osp}(1|2n))$wUr,sd( osp (1|2n))

Cites Work

• Weak Hopf algebras and some new solutions of the quantum Yang-Baxter equation
• Weak Hopf algebras corresponding to Cartan matrices
• The weak Hopf algebras related to generalized Kac-Moody algebra
• Quantized enveloping algebras for Borcherds superalgebras
• Center and universal R-matrix for quantized Borcherds superalgebras
• Weak Hopf algebras corresponding to Uq[sln]
• Weak Hopf algebras and singular solutions of quantum Yang-Baxter equation

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