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Ambiskew Hopf algebras

Ambiskew Hopf algebras.
descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2013Embargo end date: 01 Jan 2011 English Publisher:Elsevier BVJournal:Journal of Pure and Applied Algebra, volume 217, pages 59-74 (issn: 0022-4049, Copyright policy )
Authors: Brown, K.; Macauley, M.;

doi: 10.1016/j.jpaa.2012.04.007 , 10.48550/arxiv.1112.3528

arXiv: 1112.3528

Ambiskew Hopf algebras

Abstract

Necessary and sufficient conditions are obtained for an ambiskew polynomial algebra A over a Hopf k-algebra R to possess the structure of a Hopf algebra extending that of R, in which the added variables X+ and X- are skew primitive. The coradical filtration is calculated, many examples are described, and properties determined.

20 pages

Related Organizations
Keywords

Algebra and Number Theory, Hopf algebras and their applications, Quantum groups (quantized enveloping algebras) and related deformations, Mathematics - Rings and Algebras, ambiskew Hopf algebras, ambiskew polynomial algebras, Ordinary and skew polynomial rings and semigroup rings, Rings and Algebras (math.RA), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 16T20 (Primary) 17B37 (Secondary)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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