Drinfel'd doubles and Shapovalov determinants

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dc.creatorHeckenberger, I.
dc.creatorYamane, H.
dc.date2008-10-09
dc.date.accessioned2026-07-07T10:08:45Z
dc.date.available2026-07-07T10:08:45Z
dc.descriptionThe Shapovalov determinant for a class of pointed Hopf algebras is calculated, including quantized enveloping algebras, Lusztig's small quantum groups, and quantized Lie superalgebras. Our main tools are root systems, Weyl groupoids, and Lusztig type isomorphisms. We elaborate powerful novel techniques for the algebras at roots of unity, and pass to the general case using a density argument. Key words: Hopf algebra, Nichols algebra, quantum group, representation
dc.description50 pages
dc.identifierhttps://arxiv.org/abs/0810.1621
dc.identifierhttp://arxiv.org/abs/0810.1621
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171102
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject16W30; 17B37, 81R50
dc.titleDrinfel'd doubles and Shapovalov determinants
dc.typetext

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