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This article is cited in 2 scientific papers (total in 2 papers)
Bruhat decomposition for carpet subgroups of Chevalley groups over fields
Ya. N. Nuzhina, A. V. Stepanovb a Institute of Mathematics and Computer Science, Siberian Federal University, Krasnoyarsk
b Saint Petersburg State University
Abstract:
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 exhausted 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.
Keywords:
Bruhat decomposition, Chevalley group, carpet subgroup.
Received: 09.04.2021 Revised: 29.11.2021
Citation:
Ya. N. Nuzhin, A. V. Stepanov, “Bruhat decomposition for carpet subgroups of Chevalley groups over fields”, Algebra Logika, 60:5 (2021), 497–509; Algebra and Logic, 60:5 (2021), 327–335
Linking options:
https://www.mathnet.ru/eng/al2681 https://www.mathnet.ru/eng/al/v60/i5/p497
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Abstract page: | 180 | Full-text PDF : | 41 | References: | 18 | First page: | 7 |
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