Geodesic
Spherical harmonics on Grassmannians
Roger Howe1 ; Soo Teck Lee2
1 Department of Mathematics Yale University New Haven, CT 06520-8283, U.S.A.
2 Department of Mathematics National University of Singapore 10, Lower Kent Ridge Road Singapore 119076
Colloquium Mathematicum, Tome 118 (2010) no. 1, pp. 349-364

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm118-1-19
Keywords: propose generalization theory spherical harmonics context symmetric subgroups reductive groups acting flag manifolds sample results the orthogonal group acting grassmann manifolds especially planes

Roger Howe 1 ; Soo Teck Lee 2

1 Department of Mathematics Yale University New Haven, CT 06520-8283, U.S.A.
2 Department of Mathematics National University of Singapore 10, Lower Kent Ridge Road Singapore 119076 
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Roger Howe; Soo Teck Lee. Spherical harmonics on Grassmannians. Colloquium Mathematicum, Tome 118 (2010) no. 1, pp. 349-364. doi: 10.4064/cm118-1-19

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