Twisted Product and Cohomology

<正> Let H be a Hopf algebra,H1 be a sub-Hopf algebra of H,H2 be the quotient Hoptalgebra of H modular H1.This paper gives a simplified complex by defining a new base for the cobarcomplex and proves that the cobar complex of H has the same cohomology algebra with a twistedproduct of the...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 1997, Vol.13 (1), p.76-80
Main Author: Qibing, Zheng
Format: Article
Language:English
Subjects:
Algebra
algebra
The
coalgebra
cohomology
DGA
Twisted
product
Hopf
Quotients
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Summary:<正> Let H be a Hopf algebra,H1 be a sub-Hopf algebra of H,H2 be the quotient Hoptalgebra of H modular H1.This paper gives a simplified complex by defining a new base for the cobarcomplex and proves that the cobar complex of H has the same cohomology algebra with a twistedproduct of the cobar complexes of H1 and H2.
ISSN:1439-8516
1439-7617
DOI:10.1007/bf02560526