Gurevich D. q-Analogs of differential operators and their applications (abstract)
Speaker: Dimitri Gurevich
Title: q-Analogs of differential operators and their applications
Their exists a way, based on the notion of Quantum Doubles, to introduce analogs of partial derivatives on the so-called Reflection Equation algebras. Analogously to the classical case it is possible to use these q-derivatives for different applications. I plan to explain their utility for constructing q-analogs of the so-called cut-and-join operators and other problems of "braided differential calculus".
Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.