Rational Schur algebras
Stephen Doty (Chicago, Kiel) Oberseminar Darstellungstheorie (DAS)
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| When |
May 04, 2009 from 04:15 pm to 05:15 pm |
| Where | Kleiner Hörsaal, Wegelerstr. 10 |
| Contact Name | Sachinidis |
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This is joint work with R. Dipper and F. Stoll. Rational Schur algebras are a new family of quasihereditary algebras depending on 3 parameters; when one of the parameters is set to zero the classical Schur algebras are recovered as a special case. Rational Schur algebras control the rational representation theory of general linear groups over an infinite field, and there is a Schur-Weyl duality involving "mixed" tensor powers of the natural representation and its dual. The centralizer algebra is a nice subalgebra of the Brauer algebra described by certain "walled" Brauer diagrams. Of course, there are q-analogues of everything.
