Introduction to Compact Lie Groups : SERIES IN PURE MATHEMATICS - Howard D. Fegan

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Introduction to Compact Lie Groups

By: Howard D. Fegan

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Hardcover

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Hardcover
148 Pages

Dimensions(cm)
21.59 x 15.24 x 1.27

Hardcover

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There are two approaches to compact lie groups: by computation as matrices or theoretically as manifolds with a group structure. The great appeal of this book is the blending of these two approaches. The theoretical results are illustrated by computations and the theory provides a commentary on the computational work. Indeed, there are extensive computations of the structure and representation theory for the classical groups SU(n), SO(n) and Sp(n). A second exciting feature is that the differential geometry of a compact Lie group, both the classical curvature studies and the more recent heat equation methods, are treated. A large number of formulas for the connection and curvature are conveniently gathered together.This book provides an excellent text for a first course in compact Lie groups.

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