Tables of Dimensions, Indices, and Branching Rules for Representations of Simple Lie Algebras

Tables Of Dimensions, Indices, And Branching Rules For Representations Of Simple Lie Algebras Contains The Reductions (branching Rules) Of Representations Of Complex Simple Lie Algebras Of Ranks Not Exceeding 8 To Representations Of Their Maximal Semisimple Subalgebras; And The Dimensions Of Representations Limited By 5000 For The Classical Lie Algebras And 10,000 For The Five Exceptional Algebras.- Back Cover Notations, Conventions, And Some Properties Of Representations -- Indices Of Representations -- Branching Rules -- Table 1: Table Of Dimensions, Second And Fourth Indices Of Irreducible Representations -- Table 2: Table Of Branching Rules. W. G. Mckay And J. Patera. Includes Bibliographical References. Preface Contents 1/Notations, Conventions, and Some Properties of Representations Semisimple Lie Algebras Contragredient, Orthogonal, and Symplectic Representations Congruence Classes of Representations 2/Indices of Representations Definition and Properties of the Indices The Table of Indices Examples of Applications 3/Branching Rules Semisimple Subalgebras of Semisimple Lie Algebras and Branching Rules The Table of Branching Rules Branching Rules for A2 Generating Functions for Branching Rules References Table 1. Table of Dimensions, Second and Fourth Indices of Irreducible Representations A2 A3 A4 A5 A6 A7 A8 B3 B4 B5 B6 B7 B8 C2 C3 C4 C5 C6 C7 C8 D4 D5 D6 D7 D8 E6 E7 F4 G2 Table 2. Table of Branching Rules A3 A4 A5 A6 A7 A8 B3 B4 B5 B6 B7 B8 C2 C3 C4 C5 C6 C7 C8 D4 D5 D6 D7 D8 E6 E7 E8 F4 G2