Published February 28, 2019 | Version v1
Journal article Metadata-only

Uniqueness of Addition in Lie Algebras of Chevalley Type over Rings with 1/2 and 1/3

Creators

  • 1. Moscow State University (Russian Federation)

Description

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).

Additional details

Identifiers

DOI
10.1007/s10958-019-4156-2;

Publishing Information

Journal Title
Journal of Mathematical Sciences
Journal Volume
237
Journal Issue
2
Journal Page Range
p. 287-303
ISSN
1072-3374
CODEN
JMTSEW

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
51085087
Subject category
S97: MATHEMATICAL METHODS AND COMPUTING;
Descriptors DEI
ALGEBRA; ALGEBRAIC FIELD THEORY; LIE GROUPS
Descriptors DEC
AXIOMATIC FIELD THEORY; FIELD THEORIES; MATHEMATICS; QUANTUM FIELD THEORY; SYMMETRY GROUPS

Optional Information

Copyright
Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature