Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893477 | Journal of Geometry and Physics | 2014 | 9 Pages |
Abstract
We study various aspects of the metaplectic Howe duality realized by the Fischer decomposition for the metaplectic representation space of polynomials on R2nR2n valued in the Segal–Shale–Weil representation. As a consequence, we determine symplectic monogenics, i.e. the space of polynomial solutions of the symplectic Dirac operator DsDs.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Hendrik De Bie, Petr Somberg, Vladimir Souček,