This article is cited in 1 paper

Differential operators and differential calculus in quantum groups

D. P. Zhelobenko


Abstract: The paper deals with abstract differential operators in bialgebras and Hopf algebras (quantum groups). We prove density theorems and structure theorems for the algebras of differential operators defined by dual pairs of Hopf algebras $A$, $B$ and indicate connections with Drinfel'd's quantum double and differential geometry in quantum groups.

MSC: 17B37, 16W30

Received: 12.12.1996

DOI: 10.4213/im191

 English version: Izvestiya: Mathematics, 1998, 62:4, 673–694

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