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  2. Regning og matematisk analyse
  3. Funktionsanalyse og transformation

Introduction to Quantum Groups

Af: Teo Banica Engelsk Hardback

Introduction to Quantum Groups

Af: Teo Banica Engelsk Hardback
Tjek vores konkurrenters priser

This book introduces the reader to quantum groups, focusing on the simplest ones, namely the closed subgroups of the free unitary group.

Although such quantum groups are quite easy to understand mathematically, interesting examples abound, including all classical Lie groups, their free versions, half-liberations, other intermediate liberations, anticommutation twists, the duals of finitely generated discrete groups, quantum permutation groups, quantum reflection groups, quantum symmetry groups of finite graphs, and more.

The book is written in textbook style, with its contents roughly covering a one-year graduate course. Besides exercises, the author has included many remarks, comments and pieces of advice with the lone reader in mind. The prerequisites are basic algebra, analysis and probability, and a certain familiarity with complex analysis and measure theory. Organized in four parts, the book begins with the foundations of the theory, due to Woronowicz, comprising axioms, Haar measure, Peter-Weyl theory, Tannakian duality and basic Brauer theorems. The core of the book, its second and third parts, focus on the main examples, first in the continuous case, and then in the discrete case. The fourth and last part is an introduction to selected research topics, such as toral subgroups, homogeneous spaces and matrix models.

Introduction to Quantum Groups offers a compelling introduction to quantum groups, from the simplest examples to research level topics.

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This book introduces the reader to quantum groups, focusing on the simplest ones, namely the closed subgroups of the free unitary group.

Although such quantum groups are quite easy to understand mathematically, interesting examples abound, including all classical Lie groups, their free versions, half-liberations, other intermediate liberations, anticommutation twists, the duals of finitely generated discrete groups, quantum permutation groups, quantum reflection groups, quantum symmetry groups of finite graphs, and more.

The book is written in textbook style, with its contents roughly covering a one-year graduate course. Besides exercises, the author has included many remarks, comments and pieces of advice with the lone reader in mind. The prerequisites are basic algebra, analysis and probability, and a certain familiarity with complex analysis and measure theory. Organized in four parts, the book begins with the foundations of the theory, due to Woronowicz, comprising axioms, Haar measure, Peter-Weyl theory, Tannakian duality and basic Brauer theorems. The core of the book, its second and third parts, focus on the main examples, first in the continuous case, and then in the discrete case. The fourth and last part is an introduction to selected research topics, such as toral subgroups, homogeneous spaces and matrix models.

Introduction to Quantum Groups offers a compelling introduction to quantum groups, from the simplest examples to research level topics.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 425
ISBN-13: 9783031238161
Indbinding: Hardback
Udgave:
ISBN-10: 3031238168
Kategori: Funktionsanalyse og transformation
Udg. Dato: 2 jan 2023
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer International Publishing AG
Oplagsdato: 2 jan 2023
Forfatter(e): Teo Banica
Forfatter(e) Teo Banica

Kategori Funktionsanalyse og transformation

ISBN-13 9783031238161

Sprog Engelsk

Indbinding Hardback

Sider 425

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 2 jan 2023

Oplagsdato 2 jan 2023

Forlag Springer International Publishing AG

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