Email this article Uniqueness of Addition in Lie Algebras of Chevalley Type over Rings with 1/2 and 1/3
- Authors: Mayorova A.R.1
-
Affiliations:
- Moscow State University
- Issue: Vol 237, No 2 (2019)
- Pages: 287-303
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242332
- DOI: https://doi.org/10.1007/s10958-019-4156-2
- ID: 242332
Cite item
Open Access
Access granted
Subscription Access
Abstract
In this paper, it is proved that Lie algebras of Chevalley type (An, Bn, Cn, Dn, E6, E7, E8, F4, and G2) over associative commutative rings with 1/2 (with 1/2 and 1/3 in the case of G2) have unique addition. As a corollary of this theorem, we note the uniqueness of addition in semisimple Lie algebras of Chevalley type over fields of characteristic ≠ 2 (≠ 2, 3 in the case of G2).
About the authors
A. R. Mayorova
Moscow State University
Author for correspondence.
Email: alina.arm@mail.ru
Russian Federation, Moscow
Supplementary files
