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math.QA2000
Quantum differential operators on the quantum plane
Uma N. Iyer, Timothy C. McCune
The universal enveloping algebra U(g) of a Lie algebra g acts on its representation ring R through D(R), the ring of differential operators on R. A quantised universal enveloping a…
math.QA2000★ 5 cited
Quantum differential operators on K[x]
Uma N. Iyer, Timothy C. McCune
Following the definition of quantum differential operators given by Lunts and Rosenberg in (Sel. math., New ser. 3 (1997) 335--359), we show that the ring of quantum differential o…
math.AG2000
Differential Operators on Azumaya algebra and Heisenberg algebra
Uma Iyer
We use the definition of differential operators on noncommutative rings given by V.Lunts and A.Rosenberg to find the differential operators on Azumaya algebras and the Heisenberg a…