Actions of Hopf algebras on general quantum Mal'tsev power series and quantum planes.

DOI10.1007/s10958-006-0089-7zbMath1119.16040OpenAlexW2073927972MaRDI QIDQ2488371

Vyacheslav A. Artamonov

Publication date: 23 May 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-006-0089-7

zbMATH Keywords

derivationsautomorphismsvaluationsPoisson bracketsHopf algebra actionsquantum polynomialsquantum planesquantum Mal'tsev power seriesMal'tsev-Neumann division ringsOre division rings of fractions

Mathematics Subject Classification ID

Automorphisms and endomorphisms (16W20) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Derivations, actions of Lie algebras (16W25)

Related Items (2)

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Cites Work

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• The skew field of rational functions on the quantum plane
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• QUANTUM -SPACE AND POISSON -SPACE
• SUR LES ENDOMORPHISMES DES TORES QUANTIQUES
• VALUATIONS ON QUANTUM DIVISION RINGS
• Derivations of skew polynomial rings
• Homological properties of quantum polynomials

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