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On Cocommutative Hopf Algebras of Finite Representation Type

✍ Scribed by Rolf Farnsteiner; Detlef Voigt

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
207 KB
Volume
155
Category
Article
ISSN
0001-8708

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✦ Synopsis

Let G be a finite algebraic group, defined over an algebraically closed field k of characteristic p>0. Such a group decomposes into a semidirect product G=G 0 _G red with a constant group G red and a normal infinitesimal subgroup G 0 . If the principal block B 0 (G) of the group algebra H(G) has finite representation type, then both constituents have the same property, with at least one of them being semisimple. We determine the structure of the infinitesimal constituent G 0 up to the classification of V-uniserial groups.

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