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TitleRepresentation Theory and Noncommutative Harmonic Analysis I [electronic resource] : Fundamental Concepts. Representations of Virasoro and Affine Algebras / edited by A. A. Kirillov
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994
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Descript VIII, 236 p. online resource


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


I. Introduction to the Theory of Representations and Noncommutative Harmonic Analysis -- II. Representations of Virasoro and Affine Lie Algebras -- Author Index

Mathematics Group theory Topological groups Lie groups Physics Statistical physics Dynamical systems Mathematics Topological Groups Lie Groups Statistical Physics Dynamical Systems and Complexity Mathematical Methods in Physics Numerical and Computational Physics Group Theory and Generalizations


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