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ABSTRACT In this article, we construct Weil representations of quasi-split unitary groups (q>3) attached to quadratic extensions of finite fields, by using Bruhat-like presentations of those groups. More precisely, we… Click to show full abstract
ABSTRACT In this article, we construct Weil representations of quasi-split unitary groups (q>3) attached to quadratic extensions of finite fields, by using Bruhat-like presentations of those groups. More precisely, we define Weil representations of associating to each generator a linear map of a suitable ℂ-vector space satisfying the relations of the aforementioned presentation. In addition, we also address the natural question of the compatibility of our representation of with the classical one constructed by Gérardin.
Journal Title: Communications in Algebra
Year Published: 2018
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