On pointed Hopf algebras of dimension p(n)

Authors
Beattie, M Dascalescu, S Grunenfelder, L
Citation
M. Beattie et al., On pointed Hopf algebras of dimension p(n), P AM MATH S, 128(2), 2000, pp. 361-367
Citations number
16
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
128
Issue
2
Year of publication
2000
Pages
361 - 367
Database
ISI
SICI code
0002-9939(200002)128:2<361:OPHAOD>2.0.ZU;2-2
Abstract
In this note we describe nonsemisimple Hopf algebras of dimension p(n) with coradical isomorphic to kC, C abelian of order p(n-1), over an algebraical ly closed field k of characteristic zero. If C is cyclic or C = (C-p)(n-1), then we also determine the number of isomorphism classes of such Hopf alge bras.