A. Vera Gajardo
A Generalized Weil Representation for the Finite Split Orthogonal Group O(q;2n,2n), q odd and larger than 3
Vera Gajardo, A.
Authors
Contributors
A Vera vssm22@durham.ac.uk
Other
Abstract
\def\F{{\Bbb F}} We construct via generators and relations a generalized Weil representation for the split orthogonal group O$_q(2n,2n)$ over a finite field of $q$ elements. Besides, we give an initial decomposition of the representation found. We also show that the constructed representation is equal to the restriction of the Weil representation to O$_q(2n,2n)$ for the reductive dual pair $({\rm Sp}_2(\F_q),{\rm O}_q(2n,2n))$ and that the initial decomposition is the same as the decomposition with respect to the action of Sp$_2(\F_q)$.
Citation
Vera Gajardo, A. (2015). A Generalized Weil Representation for the Finite Split Orthogonal Group O(q;2n,2n), q odd and larger than 3. Journal of Lie theory, 25, 257-270
Journal Article Type | Article |
---|---|
Publication Date | 2015 |
Deposit Date | Dec 30, 2015 |
Journal | Journal of Lie Theory |
Print ISSN | 0949-5932 |
Publisher | Heldermann Verlag |
Peer Reviewed | Peer Reviewed |
Volume | 25 |
Pages | 257-270 |
Publisher URL | http://www.heldermann.de/JLT/JLT25/JLT251/jlt25013.htm |
Related Public URLs | http://arxiv.org/abs/1311.1174 |
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