|
Algebra and Discrete Mathematics, 2017, том 24, выпуск 2, страницы 331–336
(Mi adm638)
|
|
|
|
RESEARCH ARTICLE
A note on simplicity of contact Lie algebras over $\operatorname{GF}(2)$
Chia Zargeh Institute Computational Mathematics, TU Braunschweig, Pockelsstrasse 14, 38106 Braunschweig, Germany
Аннотация:
In this note we investigate the structure of contact Lie algebras when the ground field is of characteristic 2. In order to describe the simple constituent of contact Lie algebras, by using computer algebra system, GAP, we make a conjecture which says that the quotient algebra of contact Lie algebra by its Nilradical is simple and there exists an isomorphism among this constituents and Witt Lie algebras and Hamilton Lie algebras.
Ключевые слова:
simple Lie algebras, contact Lie algebras, Hamilton Lie algebras, Witt Lie algebras.
Поступила в редакцию: 29.11.2015
Образец цитирования:
Chia Zargeh, “A note on simplicity of contact Lie algebras over $\operatorname{GF}(2)$”, Algebra Discrete Math., 24:2 (2017), 331–336
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm638 https://www.mathnet.ru/rus/adm/v24/i2/p331
|
Статистика просмотров: |
Страница аннотации: | 154 | PDF полного текста: | 87 | Список литературы: | 25 |
|