Twisted automorphisms of Hopf algebras

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dc.creatorDavydov, Alexei
dc.date2007-08-21
dc.date.accessioned2026-07-07T08:24:42Z
dc.date.available2026-07-07T08:24:42Z
dc.descriptionTwisted homomorphisms of bialgebras are bialgebra homomorphisms from the first into Drinfeld twistings of the second. They possess a composition operation extending composition of bialgebra homomorphisms. Gauge transformations of twists, compatible with adjacent homomorphisms, give rise to gauge transformation of twisted homomorphisms, which behave nicely with respect to compositions. Here we study (gauge classes of) twisted automorphisms of cocommutative Hopf algebras. After revising well-known relations between twists, twisted forms of bialgebras and $R$-matrices (for commutative bialgebras) we describe twisted automorphisms of universal enveloping algebras.
dc.identifierhttps://arxiv.org/abs/0708.2757
dc.identifierhttp://arxiv.org/abs/0708.2757
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136426
dc.subjectQuantum Algebra
dc.subjectCategory Theory
dc.titleTwisted automorphisms of Hopf algebras
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