The representation category of the quantum group of a non-degenerate bilinear form

Simple item page
dc.creatorBichon, Julien
dc.date2001-11-09
dc.date.accessioned2026-07-07T04:44:30Z
dc.date.available2026-07-07T04:44:30Z
dc.descriptionWe show that the representation category of the quantum group of a non-degenerate bilinear form is monoidally equivalent to the representation category of the quantum group SL_q(2), for a well chosen non-zero parameter q. The main ingredient for the proof of this result is the direct and explicit construction of an appropriate Hopf bigalois extension. Then we get, in characteristic zero, a full description of cosemisimple Hopf algebras whose representation semi-ring is isomorphic to the one of SL(2).
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0111114
dc.identifierhttp://arxiv.org/abs/math/0111114
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62614
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject16W30, 18D10
dc.titleThe representation category of the quantum group of a non-degenerate bilinear form
dc.typetext

Files

Collections

arXiv