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Commutativity of quantum family algebras

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Publication:1395665
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DOI10.1023/A:1023037100013zbMath1125.17312MaRDI QIDQ1395665

D. Massart

Publication date: 1 July 2003

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


zbMATH Keywords

irreducible representationuniversal enveloping algebrasymmetric algebrasemi-simple Lie algebrasimple spectrumclassical and quantum family algebras


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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On bases of g-invariant endomorphism algebras, Invariant generalized functions on \(\mathfrak{sl}(2,\mathbb R)\) with values in a \(\mathfrak{sl}(2,\mathbb R)\)-module, \(q\)-index on braided non-commutative spheres, Modules for relative Yangians (family algebras) and Kazhdan-Lusztig polynomials, The noncommutative Poisson bracket and the deformation of the family algebras



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