Publication

The socle of a projective Mackey functor for a p-group

2009
Journal paper

Abstract

We study the simple subfunctors of indecomposable projective Mackey functors for a p-group P. Unlike the case of group algebras, the Mackey algebra is not in general self-injective. Thus, the socle of an indecomposable projective functor is not in general simple. We first show that the simple subfunctors of a projective functor P_{H,k}, where H

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The socle of a projective Mackey functor for a p-group

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Multiplicity-free Representations of Algebraic Groups

Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity

Multiplicity-free Representations of Algebraic Groups

Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups

Generic direct summands of tensor products for simple algebraic groups and quantum groups at roots of unity