PBW THEOREMS AND FROBENIUS STRUCTURES FOR QUANTUM MATRICES

DOI10.1017/S0017089507003813zbMath1140.16019arXivmath/0610691MaRDI QIDQ5448981

Fabio Gavarini

Publication date: 10 March 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610691

zbMATH Keywords

quantum groupsfree modulesquantum Frobenius morphismquantum function algebrascentral Hopf subalgebras

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) Quantum groups (quantized function algebras) and their representations (20G42)

Cites Work

• The diamond lemma for ring theory
• Quantum function algebra at roots of 1
• The quantum coordinate ring of the special linear group
• Representations of quantum algebras
• The Ramifications of the Centres: Quantised Function Algebras at Roots of Unity
• Quantun function algebras as quantum enveloping algebras
• \(A(\text{SL}_q(2))\) at roots of unity is a free module over \(A(\text{SL}(2))\)

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