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Symmetric FunctionsΒΆ

  • Introduction to Symmetric Functions

  • Symmetric Functions

  • Symmetric functions, with their multiple realizations

  • Classical symmetric functions

  • Schur symmetric functions

  • Monomial symmetric functions

  • Multiplicative symmetric functions

  • Elementary symmetric functions

  • Homogeneous symmetric functions

  • Power sum symmetric functions

  • Characters of the symmetric group as bases of the symmetric functions

  • Orthogonal Symmetric Functions

  • Symplectic Symmetric Functions

  • Generic dual bases symmetric functions

  • Symmetric functions defined by orthogonality and triangularity

  • Kostka-Foulkes Polynomials

  • Hall-Littlewood Polynomials

  • Hecke Character Basis

  • Jack Symmetric Functions

  • k-Schur Functions

  • Quotient of symmetric function space by ideal generated by Hall-Littlewood symmetric functions

  • LLT symmetric functions

  • Macdonald Polynomials

  • Non-symmetric Macdonald Polynomials

  • Witt symmetric functions

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