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Deformation Quantization and Braded Geometry : with Joseph and after

Abstract : By Braided Geometry I mean a sort of Noncommutative Geometry dealing with braidings, i.e. solutions to Quantum Yang–Baxter Equation. In a sense, it can be treated as a far generalization of super-theory. The main rˆole in this Geometry is played by the so-called Reflection Equation Al-gebra. This algebra has many remarkable properties which will be discussed in my talk. First, I’ll exhibit the Joseph’s contribution to this area. Second, I’ll describe the update situation. Also, I plan to demonstrate some possible applications to Physics.
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  • HAL Id : hal-03155722, version 1

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Dimitri Gurevich. Deformation Quantization and Braded Geometry : with Joseph and after. ”Quantum Groups, Deformations, and Geometry” - Joseph Donin Memorial Conference, Jun 2014, Ramat Gan, Israel. ⟨hal-03155722⟩

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