A class of quadratic matrix algebras arising from the quantized enveloping algebra Uq(A2n−1)

DOI10.1063/1.533241zbMath0981.17012arXivmath/9902143OpenAlexW2591636967MaRDI QIDQ2737933

Zhang Hechun, Hans Plesner Jakobsen

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math/9902143

zbMATH Keywords

quadratic algebraHermitian symmetric spaceiterated Ore extensionquantized matrix algebra

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)

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The exponential nature and positivity, On the standard quantized matrix algebra Mq(n): From a constructive-computational viewpoint, The center of 𝒰_q (𝔫_ω), Quantized matrix algebras and quantum seeds

Cites Work

• Quantum groups at roots of 1
• A two-parameter quantization of GL(n)
• Algebras of functions on compact quantum groups, Schubert cells and quantum tori
• An analogue of P.B.W. theorem and the universal R-matrix for \(U_ h\mathfrak{sl}(N+1)\)
• Multi-parameter quantum groups related to link-diagrams
• Primitive ideals of \({\mathbf C}_ q[SL(3)\)]
• Quantum function algebra at roots of 1
• Algebraic structure of multiparameter quantum groups
• Unitarity of highest-weight modules for quantum groups
• The center of the quantized matrix algebra
• Multiparameter quantum function algebra at roots of 1
• Quantum GL_n
• Quantum deformations of GL_n
• Quantum double and multiparameter quantum groups
• The Defining Relations of Quantum n × n Matrices