Representations of Lie Algebras and Partial Differential Equations
Xiaoping Xu
Broschiertes Buch

Representations of Lie Algebras and Partial Differential Equations

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This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author's works and his joint works with his former students. Further, it presents various oscillator generalizations of the classical representation theorem on harmonic polynomials, and highlights new functors from the representation category of a simple Lie algebra to that of another simple Lie algebra.Partial differential equations play a key role in solving certain representati...