Bruhat Decomposition for Carpet Subgroups of Chevalley Groups Over Fields : научное издание

Описание

Тип публикации: статья из журнала

Год издания: 2021

Идентификатор DOI: 10.1007/s10469-021-09658-4

Ключевые слова: bruhat decomposition, chevalley group, carpet subgroup

Аннотация: Necessary and sufficient conditions for a Bruhat decomposition to exist in a carpet subgroup of the Chevalley group over a field defined by an irreducible closed carpet of additive subgroups are established. It turns out that carpet subgroups, which admit the Bruhat decomposition and are distinct from Chevalley groups, are exhausteПоказать полностьюd by groups lying between Chevalley groups of types B-l, C-l, F-4 or G(2) over various imperfect fields of exceptional characteristics 2 or 3, respectively, of which the larger field is an algebraic extension of the smaller field.

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Издание

Журнал: ALGEBRA AND LOGIC

Выпуск журнала: Vol. 60, Is. 5

Номера страниц: 327-335

ISSN журнала: 00025232

Место издания: NEW YORK

Издатель: SPRINGER

Персоны

  • Nuzhin Ya N. (Siberian Fed Univ, Inst Math & Fundamental Informat, Krasnoyarsk, Russia)
  • Stepanov A.V (St Petersburg State Univ, St Petersburg, Russia)