Weyl algebras over quantum groups

Authors
Zhelobenko, DP
Citation
Dp. Zhelobenko, Weyl algebras over quantum groups, THEOR MATH, 118(2), 1999, pp. 152-163
Citations number
14
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
118
Issue
2
Year of publication
1999
Pages
152 - 163
Database
ISI
SICI code
0040-5779(199902)118:2<152:WAOQG>2.0.ZU;2-3
Abstract
The term "Weyl algebras" is proposed for differential algebras associated w ith dual pairs of Hopf algebras. The principle of complete reducibility for the category of "admissible" modules over Weyl algebras is proved. Comodul e structures that connect Weyl algebras with the Drinfeld quantum double ar e investigated.