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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 1996 Volume 60, Issue 2, Pages 49–72 (Mi im71)

This article is cited in 2 papers

Differential operators on graded algebras

D. P. Zhelobenko


Abstract: We consider some general questions concerning the definition and study of abstract differential operators on associative graded algebras. Certain relations between special classes of these operators are studied. We prove some structure theorems and analogues of the density theorem for algebras of differential operators. As an illustration, classical and quantum Serre algebras are considered.

UDC: 519.46

MSC: Primary 16G99, 16D10; Secondary 81R50

Received: 31.08.1995

DOI: 10.4213/im71


 English version:
Izvestiya: Mathematics, 1996, 60:2, 281–303

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© Steklov Math. Inst. of RAS, 2026