User Guide
Why can I only view 3 results?
You can also view all results when you are connected from the network of member institutions only. For non-member institutions, we are opening a 1-month free trial version if institution officials apply.
So many results that aren't mine?
References in many bibliographies are sometimes referred to as "Surname, I", so the citations of academics whose Surname and initials are the same may occasionally interfere. This problem is often the case with citation indexes all over the world.
How can I see only citations to my article?
After searching the name of your article, you can see the references to the article you selected as soon as you click on the details section.
Institutional References Quartile Statistics FAQ User Guide Contact us
Institutional Application Application for Journals
Türkçe English
 Views 11
 Downloands 1
Menu
Mendeley
Endnote
Generalized Reduced Mal’tsev Problem on Commutative Subalgebras of E6 Type Chevalley Algebras over a Field
2019
Journal:  
The Bulletin of Irkutsk State University Series Mathematics
Author:  
Abstract:

In 1905 I. Shur pointed out the largest dimension of commutative subgroups in the groups SL(n, C) and proved that for n > 3 such the subgroups are automorphic to each other. In 1945 A.I. Mal’tsev investigated the problem of description of the largest dimension commutative subgroups in the simple complex Lie groups. He solved the problem by the transition to the complex Lie algebras and by the reduction to the same problem for the maximal nilpotent subalgebra. Let N be a niltriangular subalgebra of a Chevalley algebra. The article deals with the problem of describing the largest dimension commutative subalgebras of N over an arbitrary field. The solution of this problem is obtained for the subalgebra N of E6 type Chevalley algebra.

Keywords:

0
2019
Journal:  
The Bulletin of Irkutsk State University Series Mathematics
Author:  
Citation Owners
Information: There is no ciation to this publication.
Similar Articles
1. Some upper bounds on the dimension of the Schur multiplier of a pair of nilpotent Lie algebras
2016


  Details
 Download PDF
2. Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras
2019


  Details
 Download PDF
3. On 7-Dimensional Nilpotent Leibniz Algebras With 1-Dimensional Leib Ideal
2023


  Details
 Download PDF
4. Quasi-Sasakian Structures on 5-dimensional Nilpotent Lie Algebras
2019


  Details
 Download PDF
5. Galois Theory for Finite Algebras of Operations and Multioperations of Rank 2
2019


  Details
 Download PDF
6. Weak c-ideals of a Lie algebra
2021


  Details
 Download PDF
The Bulletin of Irkutsk State University Series Mathematics

Field :   Fen Bilimleri ve Matematik

Journal Type :   Uluslararası

Metrics
Article : 601
Cite : 1
Details
The Bulletin of Irkutsk State University Series Mathematics