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Deformation Quantization technics for Lie Theory problems: An application of Kontsevich's deformation quantization technics to solve problems on invariant differential operators on Lie groups - Softcover
Inhaltsangabe
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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Über die Autorin bzw. den Autor
Panagiotis Batakidis, Doctorat in Mathematics from Universite¿ Denis Diderot,Paris. Previously he has been a researcher at the EU''s RTN LIEGRITS, visiting researcher at the University of Antwerp and the Free University of Brussels. Currently (Septembre 2010) he is a visiting researcher at the Aristotle University of Thessaloniki.
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Deformation Quantization technics for Lie Theory problems
Verlag:
Éditions Universitaires Européennes Sep 2010, 2010
ISBN 10: 6131537127
ISBN 13: 9786131537127
Neu
Taschenbuch
Anbieter: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Deutschland
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 212 pp. Englisch. Bestandsnummer des Verkäufers 9786131537127
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Deformation Quantization technics for Lie Theory problems
Verlag:
Éditions universitaires européennes, 2010
ISBN 10: 6131537127
ISBN 13: 9786131537127
Neu
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Batakidis PanagiotisPanagiotis Batakidis, Doctorat in Mathematics from Universite Denis Diderot,Paris. Previously he has been a researcher at the EU s RTN LIEGRITS, visiting researcher at the University of Antwerp and the Free Unive. Bestandsnummer des Verkäufers 5795927
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Deformation Quantization technics for Lie Theory problems | An application of Kontsevich''s deformation quantization technics to solve problems on invariant differential operators on Lie groups
Verlag:
Éditions universitaires européennes, 2010
ISBN 10: 6131537127
ISBN 13: 9786131537127
Neu
Taschenbuch
Anbieter: preigu, Osnabrück, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. Deformation Quantization technics for Lie Theory problems | An application of Kontsevich''s deformation quantization technics to solve problems on invariant differential operators on Lie groups | Panagiotis Batakidis | Taschenbuch | 212 S. | Englisch | 2010 | Éditions universitaires européennes | EAN 9786131537127 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu. Bestandsnummer des Verkäufers 107275143
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Deformation Quantization technics for Lie Theory problems
Verlag:
Éditions Universitaires Européennes Sep 2010, 2010
ISBN 10: 6131537127
ISBN 13: 9786131537127
Neu
Taschenbuch
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 212 pp. Englisch. Bestandsnummer des Verkäufers 9786131537127
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Deformation Quantization technics for Lie Theory problems : An application of Kontsevich''s deformation quantization technics to solve problems on invariant differential operators on Lie groups
Verlag:
Éditions Universitaires Européennes, 2010
ISBN 10: 6131537127
ISBN 13: 9786131537127
Neu
Taschenbuch
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9786131537127
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