Photo by vika_strawberrika from unsplash
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… Click to show full 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 character formula for a special Fermat variety due to Hotta–Matsui.
Keywords:
weil representations;
representations unitary;
finite fields;
unitary groups;
groups finite;
character
Journal Title: Communications in Algebra
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Communications in Algebra
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!