A new construction of the asymptotic algebra associated to the $q$-Schur algebra

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dc.creatorBrunat, Olivier
dc.creatorNeunhöffer, Max
dc.date2008-10-14
dc.date.accessioned2026-07-07T10:09:51Z
dc.date.available2026-07-07T10:09:51Z
dc.descriptionWe denote by A the ring of Laurent polynomials in the indeterminate v and by K its field of fractions. In this paper, we are interested in representation theory of the "generic" q-Schur algebra S_q(n,r) over A. We will associate to every non-degenerate symmetrising trace form τon KS_q(n,r) a subalgebra J_τ of KS_q(n,r) which is isomorphic to the "asymptotic" algebra \J(n,r)_A defined by J. Du. As a consequence, we give a new criterion for James' conjecture.
dc.identifierhttps://arxiv.org/abs/0810.2335
dc.identifierhttp://arxiv.org/abs/0810.2335
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171453
dc.subjectRepresentation Theory
dc.titleA new construction of the asymptotic algebra associated to the $q$-Schur algebra
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