A Note on the Rank of a Restricted Lie Algebra

被引：1

作者：

Chang, Hao ^{[1
]}

机构：

[1] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2018年 / 25卷 / 04期

关键词：

restricted Lie algebra; rank; contact algebra; CARTAN SUBALGEBRAS; TORI;

D O I：

10.1142/S1005386718000457

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this short note, we study the rank of a restricted Lie algebra (g, [p]), and give some applications which concern the dimensions of non-trivial irreducible modules. We also compute the rank of the restricted contact algebra.

引用

页码：653 / 660

页数：8

共 50 条

[1] A note on the restricted universal enveloping algebra of a restricted Lie-Rinehart Algebra
Schauenburg, Peter
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2016, 23 (05) : 769 - 777
[2] CARTAN INVARIANTS FOR THE RESTRICTED TORAL RANK 2 CONTACT LIE-ALGEBRA
HOLMES, RR
INDAGATIONES MATHEMATICAE-NEW SERIES, 1994, 5 (03): : 291 - 305
[3] ON COMMUTATIVITY OF RESTRICTED LIE ALGEBRA
CHWE, BS
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (03) : 547 - &
[4] SYMMETRY FOR ENVELOPING ALGEBRA OF A RESTRICTED LIE ALGEBRA
SCHUE, JR
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (05) : 1123 - &
[5] On the restricted Lie algebra structure of the Witt Lie algebra in finite characteristic
Evans, TJ
Fuchs, DB
FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 2002, 36 (02) : 140 - 144
[6] On the Restricted Lie Algebra Structure of the Witt Lie Algebra in Finite Characteristic
T. J. Evans
D. B. Fuchs
Functional Analysis and Its Applications, 2002, 36 : 140 - 144
[7] A note on Lie algebra cohomology
Larsen, Michael J.
Lunts, Valery A.
ALGEBRA & NUMBER THEORY, 2021, 15 (03) : 773 - 783
[8] On the subalgebra lattice of a restricted Lie algebra
Paez-Guillan, Pilar
Siciliano, Salvatore
Towers, David A.
LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 660 : 47 - 65
[9] RESTRICTED LIE-ALGEBRA COHOMOLOGY
JANTZEN, JC
LECTURE NOTES IN MATHEMATICS, 1987, 1271 : 91 - 108
[10] THE COCLASS OF A RESTRICTED LIE-ALGEBRA
RILEY, DM
SEMPLE, JF
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1994, 26 : 431 - 437

← 1 2 3 4 5 →