Representations of Lie Algebras and Partial Differential Equations

@inproceedings{Xu2017RepresentationsOL,
  title={Representations of Lie Algebras and Partial Differential Equations},
  author={Xiaoping Xu},
  year={2017}
}
This book is mainly an exposition of the author's works and his joint works with his former students on explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties. Various oscillator generalizations of the classical representation theorem on harmonic polynomials are presented. New functors from the representation category of a simple Lie algebra to that of another simple Lie… 
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