COALGEBRA BUNDLES

Authors
BRZEZINSKI T MAJID S
Citation
T. Brzezinski et S. Majid, COALGEBRA BUNDLES, Communications in Mathematical Physics, 191(2), 1998, pp. 467-492
Citations number
20
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
191
Issue
2
Year of publication
1998
Pages
467 - 492
Database
ISI
SICI code
0010-3616(1998)191:2<467:>2.0.ZU;2-S
Abstract
We develop a generalised theory of bundles and connections on them in which the role of gauge group is played by a coalgebra and the role of principal bundle by an algebra. The theory provides a unifying point of view which includes quantum group gauge theory, embeddable quantum homogeneous spaces and braided group gauge theory, the latter being in troduced now by these means. Examples include ones in which the gauge groups are the braided line and the quantum plane.