Description

Book Synopsis
Discusses the symmetric, linear, orthogonal, and symplectic groups and determines their invariants and representations. This book covers topics such as matrix algebras, semigroups, commutators, and spinors, which help in understanding the group-theoretic structure of quantum mechanics.

Table of Contents
*Frontmatter, pg. i*Preface to the First Edition, pg. vii*Preface to the Second Edition, pg. ix*Table of Contents, pg. xi*Chapter I. Introduction, pg. 1*Chapter II. Vector Invariants, pg. 27*Chapter III. Matric Algebras and Group Rings, pg. 79*Chapter IV. The Symmetric Group and The Full Linear Group, pg. 115*Chapter V. The Orthogonal Group, pg. 137*Chapter VI. The Symplectic Group, pg. 165*Chapter VII. Characters, pg. 176*Chapter VIII. General Theory of Invariants, pg. 239*Chapter IX. Matric Algebras Resumed, pg. 280*Chapter X. Supplements, pg. 291*Errata and Addenda, pg. 307*Bibliography, pg. 308*Supplementary Bibliography, mainly for the years 1940-1945, pg. 314*Index, pg. 317

The Classical Groups

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    A Paperback / softback by Hermann Weyl

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      Book details

      Publisher Princeton University Press
      Published 2 November 1997
      ISBN-13 9780691057569
      978-0691057569
      ISBN-10 0691057567
      Also in:
      Mathematics

      Description

      Book Synopsis
      Discusses the symmetric, linear, orthogonal, and symplectic groups and determines their invariants and representations. This book covers topics such as matrix algebras, semigroups, commutators, and spinors, which help in understanding the group-theoretic structure of quantum mechanics.

      Table of Contents
      *Frontmatter, pg. i*Preface to the First Edition, pg. vii*Preface to the Second Edition, pg. ix*Table of Contents, pg. xi*Chapter I. Introduction, pg. 1*Chapter II. Vector Invariants, pg. 27*Chapter III. Matric Algebras and Group Rings, pg. 79*Chapter IV. The Symmetric Group and The Full Linear Group, pg. 115*Chapter V. The Orthogonal Group, pg. 137*Chapter VI. The Symplectic Group, pg. 165*Chapter VII. Characters, pg. 176*Chapter VIII. General Theory of Invariants, pg. 239*Chapter IX. Matric Algebras Resumed, pg. 280*Chapter X. Supplements, pg. 291*Errata and Addenda, pg. 307*Bibliography, pg. 308*Supplementary Bibliography, mainly for the years 1940-1945, pg. 314*Index, pg. 317

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