Rings of \h-deformed differential operators

2016/12/23 by Herlemont, B., Ogievetsky, O. · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1612.08001

Abstract

We describe the center of the ring \Diff(n) of \h-deformed differential operators of type A. We establish an isomorphism between certain localizations of \Diff(n) and the Weyl algebra W_n extended by n indeterminates.

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• Differential calculus on h-deformed spaces
• Dixmier's Problem 6 for the Weyl Algebra (the Generic type Problem)
• Deformed Bialgebra of Diffeomorphisms
• The Derived Ring of Differential Operators
• Differential operators on classical invariant rings do not lift modulo p