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math.RT2026
The spectrum of Anosov representations
Yannick Guedes Bonthonneau, Thibault Lefeuvre, Tobias Weich
Given a -Anosov representation into a noncompact semisimple real algebraic group , where is a parabolic subgroup, we construct a natural resonance spectrum for the cl…
math.RT2024
Polyhedral bounds on the joint spectrum and temperedness of locally symmetric spaces
Christopher Lutsko, Tobias Weich, Lasse L. Wolf
Given a real semisimple connected Lie group and a discrete subgroup we prove a precise connection between growth rates of the group , polyhedral bounds on the joint s…
math.RT2021★ 2 cited
Wave Front Sets of Nilpotent Lie Group Representations
Julia Budde, Tobias Weich
Let be a nilpotent, connected, simply connected Lie group with Lie algebra , and a unitary representation of . The goal is to prove that the wave front set…