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A quasi-Hopf algebra freeness theorem

Author(s): Peter Schauenburg
Journal: Proc. Amer. Math. Soc. 132 (2004), 965-972.
MSC (2000): Primary 16W30
Posted: July 7, 2003
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Abstract: We prove the quasi-Hopf algebra version of the Nichols-Zoeller theorem: A finite dimensional quasi-Hopf algebra is free over any quasi-Hopf subalgebra.

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Additional Information:

Peter Schauenburg
Affiliation: Mathematisches Institut, Universität München, Theresienstr.~39, 80333~München, Germany
Email: schauen@rz.mathematik.uni-muenchen.de

DOI: 10.1090/S0002-9939-03-07181-8
PII: S 0002-9939(03)07181-8
Keywords: Quasi-Hopf algebra, Nichols-Zoeller theorem, Hopf module
Received by editor(s): March 1, 2002
Received by editor(s) in revised form: November 24, 2002
Posted: July 7, 2003
Communicated by: Martin Lorenz
Copyright of article: Copyright 2003, American Mathematical Society

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