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math.GR2026
On the unitary cohomology of semisimple groups
Uri Bader, Michael Glasner, Yuval Gorfine +1
We study the continuous homology and cohomology of semisimple Lie groups with coefficients in arbitrary unitary representations. The case of irreducible representations was determi…
math.GR2025
Non-uniform higher-rank lattices are character rigid
Alon Dogon, Michael Glasner, Yuval Gorfine +2
We establish character rigidity for all non-uniform higher-rank irreducible lattices in semisimple groups of characteristic other than 2. This implies stabilizer rigidity for proba…
math.GR2025
A Spectral Gap Absorption Principle
Yuval Gorfine
We show that unitary representations of simply connected, semisimple algebraic groups over local fields of characteristic zero obey a spectral gap absorption principle: that is, th…