Generalization of Harish-Chandra's basic theorem for Riemannian symmetric spaces of non-compact type
Representation Theory
2007-05-23 v1 Group Theory
Abstract
A basic exact sequence by Harish-Chandra related to the invariant differential operators on a Riemannian symmetric space G/K is generalized for each K-type in a certain class which we call `single-petaled'. The argument also includes a further generalization of Broer's generalization of the Chevalley restriction theorem.
Keywords
Cite
@article{arxiv.math/0502230,
title = {Generalization of Harish-Chandra's basic theorem for Riemannian symmetric spaces of non-compact type},
author = {Hiroshi Oda},
journal= {arXiv preprint arXiv:math/0502230},
year = {2007}
}
Comments
34 pages, AMS-LaTeX, txfonts.sty, mathrsfs.sty