Representations of Lie Algebras and Partial Differential Equations

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.

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• Cálculo diferencial e equações
• Análise funcional e transforma
• Álgebra
• Algoritmos e estruturas de dados

Representations of Lie Algebras;Special Linear Algebras;Even Orthogonal Lie Algebras;Odd Orthogonal Lie Algebras;Symplectic Lie Algebras;Codes Related to Representations;Root-Related Integrable Systems;partial differential equations