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.
Журнал: ALGEBRA AND LOGIC
Выпуск журнала: Vol. 60, Is. 5
Номера страниц: 327-335
ISSN журнала: 00025232
Место издания: NEW YORK
Издатель: SPRINGER