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math.RT2025
Weak unipotence and Langlands duality
Jia-jun Ma, Shilin Yu
Weak unipotence of primitive ideals is a crucial property in the study of unitary representations of reductive groups. We establish a sufficient condition, referred to as mild unip…
math.RT2023★ 1 cited
Unipotent Representations of Complex Groups and Extended Sommers Duality
Lucas Mason-Brown, Dmytro Matvieievskyi, Shilin Yu
Let be a complex reductive algebraic group. In arXiv:2108.03453, we have defined a finite set of irreducible admissible representations of called `unipotent representations…
math.RT2023
On Harish-Chandra modules over quantizations of nilpotent orbits
Ivan Losev, Shilin Yu
Let be a semisimple algebraic group over the complex numbers and be a connected reductive group mapping to so that the Lie algebra of gets identified with a symmetr…