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math.AG2026
Crepant partial resolutions of the nilpotent cone via Hamiltonian reduction
Gwyn Bellamy, Tom Gannon
We show that the nilpotent cone associated to a simply connected semisimple algebraic group, together with all its crepant projective partial resolutions, can be constructed as Ham…
math.RT2026
The coordinate ring of the universal centralizer via Demazure operators
Tom Gannon, Victor Ginzburg
We give a simple description of the coordinate ring of the universal centralizer associated to a simply connected semisimple group. To this end, we prove a general result on Weil r…