Cohomology of subregular tilting modules for small quantum groups

dc.creatorOstrik, Viktor
dc.date1999-02-15
dc.date.accessioned2026-07-07T05:27:56Z
dc.date.available2026-07-07T05:27:56Z
dc.descriptionLet $U$ be the quantum group with divided powers in $l-$th root of unity and let $u\subset U$ be the Frobenius kernel. V.Ginzburg and S.Kumar proved that the cohomology algebra of $u$ with trivial coefficients is isomorphic to the functions algebra of the nilpotent cone of the corresponding Lie algebra. In this note we show that there exists tilting module $T$ such that the cohomology of $u$ with coefficients in $T$ is isomorphic to the functions algebra of the closure of the subregular nilpotent orbit.
dc.description5 pages, LaTex2e
dc.identifierhttps://arxiv.org/abs/math/9902094
dc.identifierhttp://arxiv.org/abs/math/9902094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78111
dc.subjectQuantum Algebra
dc.titleCohomology of subregular tilting modules for small quantum groups
dc.typetext

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