Generalization of Harish-Chandra's basic theorem for Riemannian symmetric spaces of non-compact type

Details Generalization of Harish-Chandra's basic theorem for Riemannian symmetric spaces of non-compact type Generalization of Harish-Chandra's basic theorem for Riemannian symmetric spaces of non-compact type

2005-02-11

arxiv.org/abs/math/0502230v1

Mathematics

Representation Theory

34 pages, AMS-LaTeX, txfonts.sty, mathrsfs.sty

Scientific paper

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.

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