Published July 28, 2019
| Version v1
Journal article
The Existence of Root Subgroup Translated by a Given Element into its Opposite
Description
Let Φ be a simply laced root system, K an algebraically closed field, and G = Gad(Φ,K) the adjoint group of type Φ over K. Then for every nontrivial element g ∈ G there exists a root element x of the Lie algebra of G such that x and gx are opposite.
Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Mathematical Sciences
- Journal Volume
- 240
- Journal Issue
- 4
- Journal Page Range
- p. 494-502
- ISSN
- 1072-3374
- CODEN
- JMTSEW
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 51084967
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGEBRA; GROUP THEORY; LIE GROUPS
- Descriptors DEC
- MATHEMATICS; SYMMETRY GROUPS
Optional Information
- Copyright
- Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature