Skew derivations and \(U_ q(sl(2))\)

DOI10.1007/BF02764618zbMath0717.16031OpenAlexW2331337566MaRDI QIDQ753919

D. Kharzeev

Publication date: 1990

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02764618

zbMATH Keywords

Hopf module algebraautomorphismquantum groupHopf algebraactionshomogeneous componentsskew group ringHopf module actionskew-derivations

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Automorphisms and endomorphisms (16W20) Smash products of general Hopf actions (16S40) ``Super (or ``skew) structure (16W55)

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Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Quantum deformations of certain simple modules over enveloping algebras
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Theory of non-commutative polynomials
• The Order of the Antipode of Finite-dimensional Hopf Algebra
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