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Modules of solvable infinitesimal groups and the structure of representation-finite cocommutative Hopf algebras

Published online by Cambridge University Press:  01 November 1999

ROLF FARNSTEINER  and
DETLEF VOIGT
ROLF FARNSTEINER
Affiliation:
Department of Mathematics, University of Wisconsin, Milwaukee, WI 53201, U.S.A.; e-mail: rolf@uwm.edu
DETLEF VOIGT
Affiliation:
Department of Mathematics, University of Wisconsin, Milwaukee, WI 53201, U.S.A.; e-mail: rolf@uwm.edu
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Abstract

In continuation of earlier work [7], we study in this paper the structure of cocommutative Hopf algebras of finite representation type. Since every such algebra is the group algebra H([Gscr ]) of a finite algebraic group [Gscr ], this problem has two interrelated aspects. On the one hand, one has to understand the structure of the group scheme [Gscr ], while on the other the Morita equivalence class of H([Gscr ]) has to be determined. Although we shall here be mainly concerned with the latter, structural information on the underlying group schemes enters crucially at several points.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 127 , Issue 3 , November 1999 , pp. 441 - 459
Copyright
© The Cambridge Philosophical Society 1999

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