Email this article The Existence of Root Subgroup Translated by a Given Element into its Opposite
- Authors: Pevzner I.M.1
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Affiliations:
- Herzen State Pedagogical University of Russia
- Issue: Vol 240, No 4 (2019)
- Pages: 494-502
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242770
- DOI: https://doi.org/10.1007/s10958-019-04366-y
- ID: 242770
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Abstract
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.
About the authors
I. M. Pevzner
Herzen State Pedagogical University of Russia
Author for correspondence.
Email: pevzner_igor@mail.ru
Russian Federation, St. Petersburg
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