Michel Lassalle

Directeur de Recherche
Section de Mathématiques
Centre National de la Recherche Scientifique (CNRS)

Institut Gaspard Monge
Université de Marne-la-Vallée
F-77454 Marne-la-Vallée Cedex 2
France

E-mail : click here to see the address.





  List of publications
 
  Some preprints
 
 
  Tables for
characters of the
symmetric group

 
  Symmetric functions
and
Jucys-Murphy elements

 
 
  Tables for
Jack polynomials :

 
  Jack polynomials
and alpha-contents

 
  A conjecture for
Jack polynomials

 
  Jack polynomials
and free cumulants
  Research interests :
 
  • Mathematical physics
    Properties of n-point functions in general quantum field theory.
    Exactly solvable quantum many-body systems (Calogero-Sutherland type).

  • Groups and complex analysis
    Harmonic analysis in complex homogeneous spaces :
    Generalized Reinhardt domains, Hardy spaces, Cauchy and Poisson kernels.
    Generalization of the tube and three-circle theorems.

  • Hermitian symmetric spaces
    Orbital structure, harmonic analysis, Hua equations, R-spaces.

  • Jordan algebras
    Formally real and complex Jordan algebras :
    Inversible elements, Pierce decomposition.
    Quasi-invariant measures on the cone of squares.

  • Algebraic combinatorics
    Symmetric functions, classical theory of partitions.
    Jack polynomials, Macdonald polynomials.
    Generalization of classical orthogonal polynomials (Hermite, Laguerre, Jacobi).
    Generalized binomial coefficients.
    Shifted Jack polynomials, shifted Macdonald polynomials.
    Characters of the symmetric group.

  • Free probability theory



    Last modified : April, 12, 2011

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