Center and universal R-matrix for quantized Borcherds superalgebras

DOI10.1063/1.532750zbMath1018.17012arXivmath/9810115OpenAlexW2091696499MaRDI QIDQ4701911

Jin Hong

Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/math/9810115

zbMATH Keywords

highest weight representationsYang-Baxter equationHopf algebracharacter formulatriangular decompositionquantum deformationHarish-Chandra homomorphismquantized Borcherds superalgebrasuniversal \(R\) matrix

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)

Related Items (6)

The extension of a quantized Borcherds superalgebra by a Hopf algebra ⋮ Weak quantum Borcherds superalgebras and their representations ⋮ On the centre of two-parameter quantum groups \(U_{r, s}(\mathfrak{g})\) for type \(B_n\) with \(n\) even ⋮ Some graded bialgebras related to Borcherds superalgebras ⋮ Higher level \(q\)-oscillator representations for \(U_q(C_n^{(1)})\), \(U_q(C^{(2)}(n+1))\) and \(U_q(B^{(1)}(0,n))\) ⋮ Weak quantum enveloping algebras of Borcherds superalgebras

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Generalized Kac-Moody algebras
• On the center of quantized enveloping algebras
• Monstrous moonshine and monstrous Lie superalgebras
• Quantum deformations of generalized Kac-Moody algebras and their modules
• A character formula for generalized Kac-Moody superalgebras
• Central elements for quantum affine algebras and affine Macdonald's operators
• A generalization of Borcherds algebra and denominator formula
• Quantum double construction for graded Hopf algebras
• Quantized enveloping algebras for Borcherds superalgebras
• Separation of Variables for Quantized Enveloping Algebras
• Lie superalgebras

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