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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Indecomposable coalgebras, simple comodules, and pointed Hopf algebras


Author: Susan Montgomery
Journal: Proc. Amer. Math. Soc. 123 (1995), 2343-2351
MSC: Primary 16W30
MathSciNet review: 1257119
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Abstract: We prove that every coalgebra C is a direct sum of coalgebras in such a way that the summands correspond to the connected components of the Ext quiver of the simple comodules of C. This result is used to prove that every pointed Hopf algebra is a crossed product of a group over the indecomposable component of the identity element.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1257119-3
PII: S 0002-9939(1995)1257119-3
Article copyright: © Copyright 1995 American Mathematical Society