Deformation Quantization Technics for Lie Theory Problems

Name: Deformation Quantization Technics for Lie Theory Problems
Brand: Éditions universitaires européennes
SKU: 9786131537127
Price: 59.57 EUR
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Autor: Panagiotis Batakidis

Jazyk:

Väzba: Brožovaná

Vydavateľ: Éditions universitaires européennes

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In this book we'll be using results and technics from deformation quantization of Poisson manifold t...

Informácie o knihe

Autor

Panagiotis Batakidis

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2010

Stránok

212

EAN

9786131537127

ISBN

6131537127

Enbook ID

06884927

Vydavateľ

Éditions universitaires européennes

Hmotnosť

330

Rozmery

152 x 229 x 12

Kompletný popis

In this book we'll be using results and technics from deformation quantization of Poisson manifold theory in the sense Kontsevich and Cattaneo-Felder. The goal is to make suitable adaptations in order to use them in the Lie algebra case. This way we confront old problems of Lie theory and non commutative harmonic analysis. The first chapter is a detailed introduction to the part of the theory on (nilpotent) Lie groups and Lie algebras that we need. The second one is also a detailed introduction on deformation (bi)quantization and tools that we'll use in the sequence. Towards the end of chapter 2 we explain how these results will be used to prove theorems in the Lie case and introduce some central objects of study. Chapter 3 contains a detailed proof of a non-canonical isomorphism between a well known algebra of invariant differential operators and the corresponding to these data reduction algebra from deformation quantization. In chapter 4 the question of equivalence between characters from deformation quantization and harmonic analysis on Lie groups is answered positively. Finally in chapter 5 a central worked out example provides an overview of the above put in action.

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Deformation Quantization Technics for Lie Theory Problems

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