Representations of Lie Algebras and Partial Differential Equations (Paperback)

Preface.- Introduction.- I Fundament of Lie Algebras.- Preliminary of Lie Algebras.- Semisimple Lie Algebras.- Root Systems.- Isomorphisms, Conjugacy and Exceptional Types.- Highest-Weight Representation Theory.- II Explicit Representations.- Representations of Special Linear Algebras.- Representations of Even Orthogonal Lie Algebras.- Representations of Odd Orthogonal Lie Algebras.- Representations of Symplectic Lie Algebras.- Representations of G 2 and F 4.- Representations of E6.- Representations of E.- III Related Topics.- Oscillator Representations of gl(n m) and osp(n 2m).- Representation Theoretic Codes.- Path Hypergeometric Functions.- Bibliography.- Index.