Tsukuba Journal of Mathematics

A note on the Tits systems of Kac-Moody Steinberg groups

Richard Marcuson

Full-text: Open access

Abstract

Let $G(H)$ be the Chevalley (Steinberg) Kac-Moody group of the Kac-Moody Lie algebra $L$. If $\sigma$ is the canonical homomorphism of $H$ onto $G$, and $\{B_{G}, N_{G}\}$ is the Tits system in $G$, then $\{\sigma^{-1}(B_{G}),\sigma^{-1}(N_{G})\}$ is a Tits system in the Weyl-simple subgroup of $H$.

Article information

Source
Tsukuba J. Math., Volume 20, Number 1 (1996), 65-69.

Dates
First available in Project Euclid: 30 May 2017

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1496162977

Digital Object Identifier
doi:10.21099/tkbjm/1496162977

Mathematical Reviews number (MathSciNet)
MR1406028

Zentralblatt MATH identifier
0910.22019

Citation

Marcuson, Richard. A note on the Tits systems of Kac-Moody Steinberg groups. Tsukuba J. Math. 20 (1996), no. 1, 65--69. doi:10.21099/tkbjm/1496162977. https://projecteuclid.org/euclid.tkbjm/1496162977


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