Spherical harmonics on Grassmannians
Roger Howe ; Soo Teck Lee
Colloquium Mathematicae, Tome 120 (2010), p. 349-364 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:284079
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     author = {Roger Howe and Soo Teck Lee},
     title = {Spherical harmonics on Grassmannians},
     journal = {Colloquium Mathematicae},
     volume = {120},
     year = {2010},
     pages = {349-364},
     zbl = {1194.22015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-1-19}
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Roger Howe; Soo Teck Lee. Spherical harmonics on Grassmannians. Colloquium Mathematicae, Tome 120 (2010) pp. 349-364. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-1-19/