Moments of Weil representations of finite special unitary groups
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra"
DOI: 10.1016/j.jalgebra.2019.02.039
Abstract: Abstract We prove an “nth moment =1” result for irreducible Weil representations of degree ( q n + 1 ) / ( q + 1 ) of special unitary groups SU n ( q )… read more here.
Keywords: moments weil; special unitary; unitary groups; finite special ... See more keywords
Weil representations of , q > 3 odd, via presentation and compatibility of methods
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Algebra"
DOI: 10.1080/00927872.2017.1327055
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… read more here.
Keywords: presentation; representations odd; compatibility; weil representations ... See more keywords
On character formulae for Weil representations for unitary groups over finite fields
Sign Up to like & getrecommendations! Published in 2021 at "Communications in Algebra"
DOI: 10.1080/00927872.2021.1926472
Abstract: Abstract We calculate characters of Weil representations of unitary groups over finite fields geometrically. As a byproduct, we deduce another proof of Gérardin’s trace formula for the Weil representation. Our main ingredient is an explicit… read more here.
Keywords: weil representations; representations unitary; finite fields; unitary groups ... See more keywords
Clifford theory of Weil representations of unitary groups
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Group Theory"
DOI: 10.1515/jgth-2018-0151
Abstract: Abstract Let 𝒪{\mathcal{O}} be an involutive discrete valuation ring with residue field of characteristic not 2. Let A be a quotient of 𝒪{\mathcal{O}} by a nonzero power of its maximal ideal, and let *{*} be… read more here.
Keywords: clifford theory; theory; unitary groups; representations unitary ... See more keywords