Introduction to Quantum Groups, Paperback by Banica, Teo, Brand New, Free shi...

Introduction to Quantum Groups, Paperback by Banica, Teo, ISBN 3031238192, ISBN-13 9783031238192, Brand New, Free shipping in the US

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.

Th 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, th 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 th, 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.