On the number of types of finite dimensional Hopf algebras

Authors
Beattie, M Dascalescu, S Grunenfelder, L
Citation
M. Beattie et al., On the number of types of finite dimensional Hopf algebras, INVENT MATH, 136(1), 1999, pp. 1-7
Citations number
16
Categorie Soggetti
Mathematics
Journal title
INVENTIONES MATHEMATICAE
ISSN journal
00209910 → ACNP
Volume
136
Issue
1
Year of publication
1999
Pages
1 - 7
Database
ISI
SICI code
0020-9910(199904)136:1<1:OTNOTO>2.0.ZU;2-H
Abstract
For an odd prime p we construct an infinite class of nonisomorphic Hopf alg ebras of dimension p(4) over an infinite field containing primitive p-th ro ots of unity, answering in the negative a long standing conjecture of Kapla nsky.