Moments of Weil representations of finite special unitary groups

Nicholas M. Katz; Pham Huu Tiep

doi:10.1016/j.jalgebra.2019.02.039

Moments of Weil representations of finite special unitary groups

Nicholas M. Katz, Pham Huu Tiep

Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We prove an “nth moment =1” result for irreducible Weil representations of degree (qⁿ+1)/(q+1) of special unitary groups SU_n(q) for any odd n≥3 and any prime power q.

Original language	English (US)
Pages (from-to)	237-255
Number of pages	19
Journal	Journal of Algebra
Volume	561
DOIs	https://doi.org/10.1016/j.jalgebra.2019.02.039
State	Published - Nov 1 2020

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Finite special unitary groups
Moments
Weil representations

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10.1016/j.jalgebra.2019.02.039

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title = "Moments of Weil representations of finite special unitary groups",

abstract = "We prove an “nth moment =1” result for irreducible Weil representations of degree (qn+1)/(q+1) of special unitary groups SUn(q) for any odd n≥3 and any prime power q.",

keywords = "Finite special unitary groups, Moments, Weil representations",

author = "Katz, {Nicholas M.} and Tiep, {Pham Huu}",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2020",

month = nov,

day = "1",

doi = "10.1016/j.jalgebra.2019.02.039",

language = "English (US)",

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AU - Katz, Nicholas M.

AU - Tiep, Pham Huu

PY - 2020/11/1

Y1 - 2020/11/1

N2 - We prove an “nth moment =1” result for irreducible Weil representations of degree (qn+1)/(q+1) of special unitary groups SUn(q) for any odd n≥3 and any prime power q.

AB - We prove an “nth moment =1” result for irreducible Weil representations of degree (qn+1)/(q+1) of special unitary groups SUn(q) for any odd n≥3 and any prime power q.

KW - Finite special unitary groups

KW - Moments

KW - Weil representations

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DO - 10.1016/j.jalgebra.2019.02.039

M3 - Article

AN - SCOPUS:85063381980

SN - 0021-8693

VL - 561

SP - 237

EP - 255

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Moments of Weil representations of finite special unitary groups

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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