3 papers
math.GR2024
The Table of the Structure Constants for the Complex Simple Lie Algebra of Type E_6 and Chevalley Commutator Formulas in the Chevalley Group of Type E_6 over a Field
Anna I. Polovinkina, Sergey G. Kolesnikov
This article is the third in the series. It is devoted the calculation of the structure constants for the complex simple Lie algebra of type E_6 and Chevalley commutator formulas.
math.GR2023
The Table of the Structure Constants for the Complex Simple Lie Algebra of Type G_2 and Chevalley Commutator Formulas in the Chevalley Group of Type G_2 over a Field
Sergey G. Kolesnikov
This article is the second in the series and is devoted to the type G_2. The work consists of two parts. In the first part we calculate the structure constants of the complex simpl…
math.GR2023
The Table of the Structure Constants for the Complex Simple Lie Algebra of Type F_4 and its Application to the Calculation of Commutators in the Chevalley Group of Type F_4 over Fields and Rings
Sergey G. Kolesnikov, Anna I. Polovinkina
This work is the first in a series of papers devoted to constructing tables of structure constants for the complex simple Lie algebras and to finding an explicit form of Chevalley…