9 citations · 9 across the 4 of their papers we have counts for
8 papers
Algebraic approach to contraction families
Takuma Hayashi
In this paper, we give a purely algebraic approach to the contraction group scheme predicted by Bernstein--Higson--Subag and constructed by Barbasch--Higson--Subag. We also compare…
Filtrations on the globalization of twisted D-modules over Dedekind schemes
Takuma Hayashi
Fabian Januszewski and the author established the theory of twisted D-modules over general base schemes. In this short note, we construct a -invariant positive exhaustive filtra…
-homogeneous decomposition of the flag scheme of over
Takuma Hayashi
In this paper, we give -forms of -orbits in the flag variety of . We also prove that they give a $…
Half-integrality of line bundles on partial flag schemes of classical Lie groups
Takuma Hayashi
In this paper, we develop a theory of Galois descent for equivariant line bundles on partial flag schemes. In particular, we study computational aspects of the classification of de…
Families of twisted -modules and arithmetic models of Harish-Chandra modules
Takuma Hayashi, Fabian Januszewski
We develop a theory of tdos and twisted -modules over general base schemes with a focus on functorial aspects. In particular, we introduce a flat base change functor an…
Flat Base Change Formulas for -modules over Noetherian rings
Takuma Hayashi
The fucntor and its derived functor over the complex number field have been playing important roles in representation theory of real reductive Lie groups. In this paper, we dis…