Title

Representation Theory of Disconnected Reductive Groups

Document Type

Article

Publication Date

1-1-2020

Abstract

We study three fundamental topics in the representation theory of disconnected algebraic groups whose identity component is reductive: (i) the classification of irreducible representations; (ii) the existence and properties of Weyl and dual Weyl modules; and (iii) the decomposition map relating representations in characteristic 0 and those in characteristic p (for groups defined over discrete valuation rings of mixed characteristic). For each of these topics, we obtain natural generalizations of the well-known results for connected reductive groups.

Publication Source (Journal or Book title)

Documenta Mathematica

First Page

2149

Last Page

2177

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