Hochschild cohomology and the coradical filtration of pointed coalgebras: Applications

Authors
Stefan, D Van Oystaeyen, F
Citation
D. Stefan et F. Van Oystaeyen, Hochschild cohomology and the coradical filtration of pointed coalgebras: Applications, J ALGEBRA, 210(2), 1998, pp. 535-556
Citations number
12
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF ALGEBRA
ISSN journal
00218693 → ACNP
Volume
210
Issue
2
Year of publication
1998
Pages
535 - 556
Database
ISI
SICI code
0021-8693(199812)210:2<535:HCATCF>2.0.ZU;2-R
Abstract
In this paper we show that there is a close connection between the coradica l filtration of a pointed coalgebra and the Hochschild cohomology of that c oalgebra with coefficients in some one-dimensional bicomodules. As an appli cation, for a given prime number p and an algebraically closed field k of c haracteristic 0, we classify all pointed Hopf algebras of dimension p(3) ov er k. (C) 1998 Academic Press.