Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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A simple algebraic construction of Drinfel'd twists

Jonas Schnitzer

created by tortorella on 22 Nov 2016

29 nov 2016 -- 11:30

Aula C, Dipartimento di Matematica, Università di Napoli Federico II

Abstract.

If a Poisson structure on a commutative algebra is induced by a Lie algebra action, i.e. by a so-called r-matrix, then it is possible to compute a rather explicit deformation quantization of it, via the algebraic equivalent of the famous Fedosov construction. In this talk, I will illustrate an explicit construction of star products on U(g)-module algebras, and clarify the notion of positive twists, that are the algebraic equivalent of positive star products. I will also discuss some techniques that are used to find obstructions to the existence of (positive) twists.

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