A counterpart of the Verlinde algebra for the small quantum group

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dc.creatorLachowska, Anna
dc.date2001-07-19
dc.date2002-05-07
dc.date.accessioned2026-07-07T04:42:39Z
dc.date.available2026-07-07T04:42:39Z
dc.descriptionLet $\bar{Pr}$ denote the ideal spanned by the characters of projective modules in the Grothendieck ring of the category of finite dimensional modules over the small quantum group $u_l$. We show that $\bar{Pr}$ admits a description completely parallel to that of the Verlinde algebra of the fusion category, restricted over $u_l$, with the character of the Steinberg module playing the role of the identity.
dc.description18 pages, ams-latex
dc.identifierhttps://arxiv.org/abs/math/0107136
dc.identifierhttp://arxiv.org/abs/math/0107136
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61871
dc.subjectQuantum Algebra
dc.subject20Gxx, 17Bxx
dc.titleA counterpart of the Verlinde algebra for the small quantum group
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