PreprintCC BY 4.0arXiv
Notes on Chevalley Groups and Root Category IV: Iwasawa Decomposition and Total Positivity
Abstract
In this paper, we study the Cartan decomposition and Iwasawa decomposition of the Chevalley group from the root category. Then we investigate the Iwasawa decomposition for totally positive submonoid of the Chevalley group.
Related
- Chevalley-Eilenberg cohomology of linearly reductive Lie algebras in the Verlinde category
- Steinberg module and top-dimensional cohomology for arithmetic Chevalley groups
- Automorphisms of Twisted Chevalley Groups of type 2 A3 and 2 A4 over Local Rings
- Automorphisms of Twisted Chevalley Groups of type 2 Dℓ (ℓ ≥ 4) over Local Rings
- Automorphisms of twisted Chevalley groups of type 2E6 over local rings
BibTeX
@misc{li2026notes,
title = {{Notes on Chevalley Groups and Root Category IV: Iwasawa Decomposition and Total Positivity}},
author = {Buyan Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.23697},
eprint = {2607.23697},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.23697},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Notes on Chevalley Groups and Root Category IV: Iwasawa Decomposition and Total Positivity
AU - Buyan Li
PY - 2026
DA - 2026/10/03
PB - arXiv
DO - 10.48550/arxiv.2607.23697
UR - https://arxiv.org/abs/2607.23697
AB - In this paper, we study the Cartan decomposition and Iwasawa decomposition of the Chevalley group from the root category. Then we investigate the Iwasawa decomposition for totally positive submonoid of the Chevalley group.
ER -