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math.RT2024
The scalar product formula for parahoric Deligne--Lusztig induction
Charlotte Chan
Parahoric Deligne--Lusztig induction gives rise to positive-depth representations of parahoric subgroups of -adic groups. The most fundamental basic question about parahoric Del…
math.AC2024
Affine Semigroup Algebras And Their Fibered Sums
C-Y. Jean Chan, I-Chiau Huang, Jung-Chen Liu
We study affine semigroup rings as algebras over subsemigroup rings. From this relative viewpoint with respect to a given subsemigroup ring, the fibered sum of two affine semigroup…
math.RT2024
Generic character sheaves on parahoric subgroups
Roman Bezrukavnikov, Charlotte Chan
We study parabolic induction producing -adic sheaves on a parahoric subgroup scheme in the loop group of a reductive group. Under a genericity assumption on the input data, w…