2022 FUNDAMENTAL REPRESENTATIONS OF Ga INTO SL(3,k) IN POSITIVE CHARACTERISTIC
Ryuji Tanimoto
Author Affiliations +
Nihonkai Math. J. 33(2): 81-127 (2022).

Abstract

Let k be an algebraically closed field of positive characteristic p. In this article, we classify representations of GaGm into SL(3,k), and thereby we classify fundamental representations of Ga into SL(3,k).

Acknowledgements

The author is grateful to the referee for careful reading and for suggestions which improve Introduction of this article.

Citation

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Ryuji Tanimoto. "FUNDAMENTAL REPRESENTATIONS OF Ga INTO SL(3,k) IN POSITIVE CHARACTERISTIC." Nihonkai Math. J. 33 (2) 81 - 127, 2022.

Information

Received: 3 April 2023; Revised: 7 June 2023; Published: 2022
First available in Project Euclid: 11 July 2023

MathSciNet: MR4622663
zbMATH: 07721316

Subjects:
Primary: 20G05
Secondary: 15A21

Keywords: algebraic group , representation

Rights: Copyright © 2022 Niigata University, Department of Mathematics

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Vol.33 • No. 2 • 2022
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