SMS scnews item created by John Enyang at Thu 28 Feb 2013 1649
Type: Seminar
Modified: Thu 28 Feb 2013 1652; Thu 28 Feb 2013 1701
Distribution: World
Expiry: 9 Mar 2013
Calendar1: 8 Mar 2013 1205-1255
CalLoc1: Carslaw 373
Auth: enyang@penyang.pc (assumed)

Algebra Seminar

Representations of \(q\)-Schur superalgebras at a root of unity


Friday 8th March, 12:05-12:55pm, Carslaw 373


Jie Du (UNSW)


Representations of \(q\)-Schur superalgebras at a root of unity


I will report on a classification of irreducible representations over the \(q\)-Schur superalgebra at a root of unity. We simply apply the relative norm map introduced by P. Hoefsmit and L. Scott in 1977. This map is the \(q\)-analogue of the usual trace map which has many important properties related to Mackey decomposition, Frobenius reciprocity, Nakayama relation, Higman's criterion, and so on. By describing a basis for the \(q\)-Schur superalgebra in terms of relative norms, we may filter the algebra with a linear sequence of ideals associated with \(l\)-parabolic subgroups. In this way, we may attach a defect group to a primitive idempotent. Primitive idempotents with the trivial defect group can be classified by \(l\)-regular partitions, and others can be classified via Brauer homomorphisms.

This is joint work with H. Gu and J. Wang.


We will take the speaker to lunch after the talk.

See the Algebra Seminar web page for information about other seminars in the series.

John Enyang

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