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Uniqueness of Addition in Lie Algebras of Chevalley Type over Rings with 1/2 and 1/3.
- Source :
-
Journal of Mathematical Sciences . Feb2019, Vol. 237 Issue 2, p287-303. 17p. - Publication Year :
- 2019
-
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). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10723374
- Volume :
- 237
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 135148895
- Full Text :
- https://doi.org/10.1007/s10958-019-4156-2