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Galois Theory of Thick Subcategories in Modular Representation Theory

✍ Scribed by Mark Hovey; John H Palmieri

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
128 KB
Volume
230
Category
Article
ISSN
0021-8693

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✦ Synopsis

classified the tensor-closed thick subcategories of finite-dimensional representations of finite groups over algebraically closed fields. In this paper, we remove the algebraically closed hypothesis by applying some Galois theory. Our methods apply more generally to finite-dimensional cocommutative Hopf algebras over a field. Thus they allow us to drop the algebraically closed hypothesis in the classification of thick subcategories of modules over finite-dimensional sub-Hopf algebras of the Steenrod algebra as well.

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