5 citations · 7 across the 6 of their papers we have counts for
7 papers
Noetherian algebras of quantum differential operators
Uma N Iyer, David A Jordan
We consider algebras of quantum differential operators, for appropriate bicharacters on a polynomial algebra in one indeterminate and for the coordinate algebra of quantum -spac…
Representations of D_q(k [x])
Vyacheslav Futorny, Uma Iyer
The algebra of quantum differential operators on graded algebras was introduced by V. Lunts and A. Rosenberg. D. Jordan, T. McCune and the second author have identified this algebr…
Generic base algebras and universal comodule algebras for some finite-dimensional Hopf algebras
Uma N. Iyer, Christian Kassel
After recalling the definitions and the properties of the generic base algebra and of the universal comodule algebra attached to a Hopf algebra by Aljadeff and the second-named aut…
Lie admissible algebras are Volichenko
Uma N. Iyer, Timothy C. McCune
Withdrawn on account of a crucial error in the main theorem
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…
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…