Spherical harmonics on Grassmannians

Roger Howe; Soo Teck Lee

Colloquium Mathematicae (2010)

  • Volume: 118, Issue: 1, page 349-364
  • ISSN: 0010-1354

Abstract

top
We propose a generalization of the theory of spherical harmonics to the context of symmetric subgroups of reductive groups acting on flag manifolds. We give some sample results for the case of the orthogonal group acting on Grassmann manifolds, especially the case of 2-planes.

How to cite

top

Roger Howe, and Soo Teck Lee. "Spherical harmonics on Grassmannians." Colloquium Mathematicae 118.1 (2010): 349-364. <http://eudml.org/doc/284079>.

@article{RogerHowe2010,
abstract = {We propose a generalization of the theory of spherical harmonics to the context of symmetric subgroups of reductive groups acting on flag manifolds. We give some sample results for the case of the orthogonal group acting on Grassmann manifolds, especially the case of 2-planes.},
author = {Roger Howe, Soo Teck Lee},
journal = {Colloquium Mathematicae},
keywords = {spherical harmonics; Grassmannians; orthogonal groups; invariant differential operators; dual pairs},
language = {eng},
number = {1},
pages = {349-364},
title = {Spherical harmonics on Grassmannians},
url = {http://eudml.org/doc/284079},
volume = {118},
year = {2010},
}

TY - JOUR
AU - Roger Howe
AU - Soo Teck Lee
TI - Spherical harmonics on Grassmannians
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 1
SP - 349
EP - 364
AB - We propose a generalization of the theory of spherical harmonics to the context of symmetric subgroups of reductive groups acting on flag manifolds. We give some sample results for the case of the orthogonal group acting on Grassmann manifolds, especially the case of 2-planes.
LA - eng
KW - spherical harmonics; Grassmannians; orthogonal groups; invariant differential operators; dual pairs
UR - http://eudml.org/doc/284079
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.