A generic multiplication in quantised Schur algebras

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dc.creatorSu, Xiuping
dc.date2008-12-03
dc.date.accessioned2026-07-07T12:08:45Z
dc.date.available2026-07-07T12:08:45Z
dc.descriptionWe define a generic multiplication in quantised Schur algebras and thus obtain a new algebra structure in the Schur algebras. We prove that via a modified version of the map from quantum groups to quantised Schur algebras, defined by A. A. Beilinson, G. Lusztig and R. MacPherson, a subalgebra of this new algebra is a quotient of the monoid algebra in Hall algebras studied by M. Reineke. We also prove that the subalgebra of the new algebra gives a geometric realisation of a positive part of 0-Schur algebras. Consequently, we obtain a multiplicative basis for the positive part of 0-Schur algebras.
dc.identifierhttps://arxiv.org/abs/0812.0688
dc.identifierhttp://arxiv.org/abs/0812.0688
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209430
dc.subjectQuantum Algebra
dc.subjectRepresentation Theory
dc.subject17B37, 16G20
dc.titleA generic multiplication in quantised Schur algebras
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