Hopf Powers and Orders for Some Bismash Products

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dc.creatorLanders, Rachel
dc.creatorMontgomery, Susan
dc.creatorSchauenburg, Peter
dc.date2004-05-21
dc.date.accessioned2026-07-07T05:08:26Z
dc.date.available2026-07-07T05:08:26Z
dc.descriptionThe Hopf order of an element $h$ of a Hopf algebra $H$ is the least $n$ such that the $n$-th Hopf power of $h$ is trivial. For some bismash product Hopf algebras obtained from factorizable groups (including Drinfeld doubles of some groups) we compute the dimensions of the spaces of elements with trivial $n$-th Hopf powers, and determine which Hopf orders of elements are possible. We discuss the behavior under twists and duality.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/0405408
dc.identifierhttp://arxiv.org/abs/math/0405408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71265
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30
dc.titleHopf Powers and Orders for Some Bismash Products
dc.typetext

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