Minimal polynomials of unipotent elements of non-prime order in irreducible representations of the exceptional algebraic groups in some good characteristics-Reference-Cited by-同舟云学术

Minimal polynomials of unipotent elements of non-prime order in irreducible representations of the exceptional algebraic groups in some good characteristics

Published:2019-11-07 Issue:5 Volume:63 Page:519-525
ISSN:2524-2431
Container-title:Doklady of the National Academy of Sciences of Belarus
language:
Short-container-title:Dokl. Akad. nauk

Author:

Busel Tatsiana S.¹,Suprunenko Irina D.¹,Testerman Donna²

Affiliation:

1. Institute of Mathematics, National Academy of Sciences of Belarus

2. Institute of Mathematics, Ecole Polytechnique Federale de Lausanne

Publisher

Publishing House Belorusskaya Nauka

Reference11 articles.

1. Suprunenko I. D. The minimal polynomials of unipotent elements in irreducible representations of the classical groups in odd characteristic. Memoirs of the American Mathematical Society, 2009, vol. 200, no. 939. https://doi.org/10.1090/memo/0939

2. Suprunenko I. D. Minimal polynomials of elements of orderp in irreducible representations of Chevalley groups over fields of characteristic p. Siberian Advances in Mathematics, 1996, vol. 6, pp. 97-150.

3. Steinberg R. Lectures on Chevalley groups. University Lecture Series, 2016, vol. 66. https://doi.org/10.1090/ulect/066

4. Lawther R. Jordan block sizes of unipotent elements in exceptional algebraic groups. Communications in Algebra, 1995, vol. 23, no. 11, pp. 4125-4156. https://doi.org/10.1080/00927879508825454

5. Steinberg R. Representations of algebraic groups. Nagoya Mathematical Journal, 1963, vol. 22, pp. 33-56. https://doi.org/10.1017/s0027763000011016

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1. Irina Dmitrievna Suprunenko (04.02.1954–10.08.2022);European Journal of Mathematics;2024-02-12

2. Памяти Ирины Дмитриевны Супруненко;Trudy Instituta Matematiki i Mekhaniki UrO RAN;2023-03

3. Minimal polynomials of the images of the unipotent elements of non-prime order in the irreducible representations of an algebraic group of type F4;Doklady of the National Academy of Sciences of Belarus;2022-06-30