Title: Representation Theory And Noncommutative Harmonic Analysis I Fundamental Concepts Representations Of Virasoro And Affine Algebras
Description: Part I of this book is a short review of the classical part of representation theory. The main chapters of representation theory are discussed: representations of finite and compact groups, finite- and infinite-dimensional representations of Lie groups. It is a typical feature of this survey that the structure of the theory is carefully exposed - the reader can easily see the essence of the theory without being overwhelmed by details. The final chapter is devoted to the method of orbits for different types of groups. Part II deals with representation of Virasoro and Kac-Moody algebra. The second part of the book deals with representations of Virasoro and Kac-Moody algebra. The wealth of recent results on representations of infinite-dimensional groups is presented.
Subjects: Group theory, Mathematics, Mathematical physics, Topological Groups, Representations of groups, Harmonic analysis, Lie algebras, Lie Groups Topological Groups, Dynamical Systems and Complexity Statistical Physics, Mathematical Methods in Physics, Numerical and Computational Physics, Group Theory and Generalizations