This article is cited in 2 papers

Weyl algebras over quantum groups

D. P. Zhelobenko

Peoples Friendship University of Russia

Abstract: The term “Weyl algebras” is proposed for differential algebras associated with dual pairs of Hopf algebras. The principle of complete reducibility for the category of “admissible” modules over Weyl algebras is proved. Comodule structures that connect Weyl algebras with the Drinfeld quantum double are investigated.

Received: 24.06.1998

DOI: 10.4213/tmf693

 English version: Theoretical and Mathematical Physics, 1999, 118:2, 152–163

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