danДоклады Национальной академии наук БеларусиDoklady of the National Academy of Sciences of Belarus1561-83232524-2431The Republican Unitary Enterprise Publishing House "Belaruskaya Navuka"10.29235/1561-8323-2022-66-3-269-273dan-1063Research ArticleМАТЕМАТИКАMATHEMATICSМинимальные многочлены образов унипотентных элементов непростого порядка в неприводимых представлениях алгебраической группы типа F4Minimal polynomials of the images of the unipotent elements of non-prime order in the irreducible representations of an algebraic group of type F4СупруненкоИ. Д.SuprunenkoI. D.

Супруненко Ирина Дмитриевна – д-р физ.-мат. наук, гл. науч. сотрудник

ул. Сурганова, 11, 220072, Минск

Suprunenko Irina D. – D. Sc. (Physics and Mathematics), Chief Researcher

 

suprunenko@im.bas-net.byИнститут математики Национальной академии наук БеларусиInstitute of Mathematics of the National Academy of Sciences of Belarus202230062022663269273Copyright © Супруненко И.Д., 20222022Супруненко И.Д.Suprunenko I.D.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://doklady.belnauka.by/jour/article/view/1063

Найдены минимальные многочлены образов унипотентных элементов непростого порядка в неприво димых представлениях алгебраической группы типа F4 в характеристиках 3 и 7. Это завершает решение задачи о минимальных многочленах унипотентных элементов в неприводимых представлениях такой группы в нечетной характеристике.

The minimal polynomials of the images of the unipotent elements of non-prime order in the irreducible representations of an algebraic group of type F4 in characteristics 3 and 7 are found. This completes the solution of the minimal polynomial problem for unipotent elements in the irreducible representations of such a group in an odd characteristic.

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The authors declare that there are no conflicts of interest present.