Description
Book SynopsisDiscusses 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
