Article
Licensed
Unlicensed
Requires Authentication
Radon transforms on the symmetric group and harmonic analysis of a class of invariant Laplacians
Published/Copyright:
March 2, 2009
Abstract
We give a short proof, in the case of representations over the complex numbers, of G.D. James characterization of the irreducible representations of the symmetric group as intersection of the kernels of suitable invariant operators. Following E. Bolker, P. Diaconis and S. Sternberg, those operators are interpreted as Radon transforms. Our proof is based on the harmonic analysis of the invariant Laplacian that describes the Bernoulli-Laplace diffusion model with many urns.
Received: 1996-08-05
Published Online: 2009-03-02
Published in Print: 1998-07-10
© Walter de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Boundary value problem with an oblique derivative for uniformly elliptic operators with discontinuous coefficients
- Radon transforms on the symmetric group and harmonic analysis of a class of invariant Laplacians
- Linear submanifolds and bisectors in ℂHn
- Affine Hughes groups acting on 4-dimensional compact projective planes
- A parallelism for contact conformal sub-Riemannian geometry
- Finite groups with smooth one fixed point actions on spheres
Articles in the same Issue
- Boundary value problem with an oblique derivative for uniformly elliptic operators with discontinuous coefficients
- Radon transforms on the symmetric group and harmonic analysis of a class of invariant Laplacians
- Linear submanifolds and bisectors in ℂHn
- Affine Hughes groups acting on 4-dimensional compact projective planes
- A parallelism for contact conformal sub-Riemannian geometry
- Finite groups with smooth one fixed point actions on spheres
