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