On character formulae for Weil representations for unitary groups over finite fields

Takahiro Tsushima

doi:10.1080/00927872.2021.1926472

On character formulae for Weil representations for unitary groups over finite fields

Takahiro Tsushima

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

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.

本文言語	English
ページ（範囲）	4679-4686
ページ数	8
ジャーナル	Communications in Algebra
巻	49
号	11
DOI	https://doi.org/10.1080/00927872.2021.1926472
出版ステータス	Published - 2021
外部発表	はい

ASJC Scopus subject areas

代数と数論

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10.1080/00927872.2021.1926472

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title = "On character formulae for Weil representations for unitary groups over finite fields",

abstract = "We calculate characters of Weil representations of unitary groups over finite fields geometrically. As a byproduct, we deduce another proof of G{\'e}rardin{\textquoteright}s trace formula for the Weil representation. Our main ingredient is an explicit character formula for a special Fermat variety due to Hotta–Matsui.",

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AB - 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.

KW - Character formula

KW - Fermat variety

KW - Weil representation

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DO - 10.1080/00927872.2021.1926472

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JO - Communications in Algebra

JF - Communications in Algebra

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On character formulae for Weil representations for unitary groups over finite fields

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