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math.GR2026
An explicit exotic representation of a rank-one simple Lie group via convex bodies
François Fillastre, Yusen Long, David Xu
In [DP12], Delzant and Py showed that there exist continuous irreducible isometric actions of on the infinite-dimensional hyperbolic space $\mathbb{H}^…
math.GR2026
Non-amenability of mapping class groups of infinite-type surfaces and graphs
Yusen Long
This paper completely determines the non-amenability of the mapping class groups of infinite-type surfaces, the mapping class groups of locally finite infinite graphs of higher ran…