Citation
C. Cibils et M. Rosso, HOPF BIMODULES ARE MODULES, Journal of pure and applied algebra, 128(3), 1998, pp. 225-231
Citations number
13
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
ISSN journal
00224049
Volume
128
Issue
3
Year of publication
1998
Pages
225 - 231
Database
ISI
SICI code
0022-4049(1998)128:3<225:>2.0.ZU;2-K
Abstract
We construct an algebra X associated to a finite-dimensional Hopf alge
bra A, such that there exists a vector space-preserving equivalence of
categories between the categories of Hopf bimodules over A and of lef
t X-modules. We show that X is isomorphic to the direct tenser product
of the Heisenberg double of A and the opposite of its Drinfeld double
. (C) 1998 Elsevier Science B.V. All rights reserved.