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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On the spectral sequence constructors of Guichardet and Stefan


Author: Donald W. Barnes
Journal: Trans. Amer. Math. Soc. 355 (2003), 2755-2769
MSC (2000): Primary 18G40, 16W30; Secondary 16E40
Published electronically: February 25, 2003
MathSciNet review: 1975398
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Abstract: The concept of a spectral sequence constructor is generalised to Hopf Galois extensions. The spectral sequence constructions that are given by Guichardet for crossed product algebras are also generalised and shown to provide examples. It is shown that all spectral sequence constructors for Hopf Galois extensions construct the same spectral sequence.


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Additional Information

Donald W. Barnes
Affiliation: 1 Little Wonga Road, Cremorne NSW 2090, Australia
Email: donb@netspace.net.au

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03270-7
PII: S 0002-9947(03)03270-7
Keywords: Spectral sequence, crossed product, comodule algebra, Hopf Galois extension
Received by editor(s): April 30, 2001
Published electronically: February 25, 2003
Additional Notes: This work was done while the author was an Honorary Associate of the School of Mathematics and Statistics, University of Sydney
Article copyright: © Copyright 2003 American Mathematical Society