Year: 2024
Type: article
Abstract: We classify the (semi-simple parts of the) Lie algebra of the Zariski closure of a discrete subgroup of a split simple real-algebraic Lie group, whose limit sets are minimal and such that the limit set in the space of full flags contains a positive triple of flags (as in Lusztig [23]). We then apply our result to obtain a new proof of Guichard’s classification [17] of Zariski closures of Hitchin representations into $\mathsf{PSL}_d (\mathbb{R})$.
Source: Journal of Differential Geometry
Author: Andrés Sambarino
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4402982263