The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10191624" target="_blank" >RIV/00216208:11320/14:10191624 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S039304401300171X" target="_blank" >http://www.sciencedirect.com/science/article/pii/S039304401300171X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.geomphys.2013.09.005" target="_blank" >10.1016/j.geomphys.2013.09.005</a>

Result language
angličtina
Original language name
The metaplectic Howe duality and polynomial solutions for the symplectic Dirac operator
Original language description
We study various aspects of the metaplectic Howe duality realized by the Fischer decomposition for the metaplectic representation space of polynomials on $mR^{2n}$ valued in the Segal-Shale-Weil representation. As a consequence, we determine symplecticmonogenics, i.e. the space of polynomial solutions of the symplectic Dirac operator $D_s$.
Czech name
—
Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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