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- W2414108118 abstract "In this article we construct Weil representations of quasi-split unitary groups $U(n,n)(mathbb{F}_{q^2}/mathbb{F}_q)$ associated to quadratic extensions of finite fields. We define these representations by using an adequate presentation Bruhat like of those groups. More precisely, we define Weil representations of $U(n,n)(mathbb{F}_{q^2}/mathbb{F}_q)$ associating to each generator a linear map of a suitable $mathbb{C}$-vector space satisfying the relations of the aforementioned presentation. In addition, we also address the natural question on the compatibility of our representation of $U(n,n)(mathbb{F}_{q^2}/mathbb{F}_q)$ with the classical one constructed by Gerardin." @default.
- W2414108118 created "2016-06-24" @default.
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- W2414108118 date "2016-06-10" @default.
- W2414108118 modified "2023-09-27" @default.
- W2414108118 title "Weil representations of $U(n,n)(mathbb{F}_{q^2}/mathbb{F}_q)$, $q>3$ odd via presentation and compatibility of methods" @default.
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