Lie rings defined by the root system and family of additive subgroups of the initial ring

被引：4

作者：

Nuzhin, Ya. N. ^{[1
]}

机构：

[1] Siberian Fed Univ, Inst Math & Comp Sci, Krasnoyarsk 660041, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2013年 / 283卷

基金：

俄罗斯基础研究基金会;

关键词：

Chevalley group and algebra; carpet of additive subgroups; Lie ring;

D O I：

10.1134/S0081543813090125

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a given carpet of additive subgroups, a carpet subring of a Chevalley algebra is defined. For this subring, an analog of the known question on the absence of new root elements in a carpet subgroup is answered, and necessary and sufficient conditions of its invariance with respect to the corresponding carpet subgroup are found.

引用

页码：119 / 125

页数：7

共 11 条

[1] [Anonymous], 1972, SIMPLE GROUPS LIE TY
[2] [Anonymous], 2010, KOUR NOT UNS PROBL G
[3] [Anonymous], 1982, FUNDAMENTALS GROUP T
[4] Borevich Z. I., 1978, ZAP NAUCHN SEM LENIN, V75, P22
[5] Borevich Z.I., 1976, ZAP NAUCHN SEMIN LOM, V64, P12
[6] Dickson LE., 1901, Linear groups, with an exposition of the Galois field theory
[7] Gorenstein D., 1980, Finite Groups, V2nd
[8] Koibaev VA, 2011, T I MAT MEKH URO RAN, V17, P134
[9] Levchuk V. M., 1983, ALGEBRA LOGIKA+, V22, P48
[10] Levchuk V. M., 1982, MAT ZAMETKI, V31, P509

← 1 2 →