Differential Operators on Azumaya algebra and Heisenberg algebra
Uma Iyer (MRI, India)
TL;DR
This paper explores the structure of differential operators on noncommutative rings, specifically Azumaya and Heisenberg algebras, using the definitions by Lunts and Rosenberg.
Contribution
It provides a detailed characterization of differential operators on Azumaya and Heisenberg algebras within the noncommutative algebra framework.
Findings
Explicit description of differential operators on Azumaya algebras
Explicit description of differential operators on Heisenberg algebras
Extension of noncommutative differential operator theory
Abstract
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 algebras.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons