Note on semi-reductive groups

A Note on Semi-groups in a Locally Compact Group

A Note on Perturbation Theory for Semi-groups of Operators

1. I. S. Cohen, Commutative rings with restricted minimum conditions, Duke Math. J. 17 (1950), 27-41. 2. S. MacLane and O. F. G. Schilling, Infinite number fields with Noether ideal theories, Amer. J. Math. 61 (1939), 771-782. 3. N. Nakano, Idealtheorie in einem speziellen unendlichen algebraischen Zahlkorper, J. Sei. Hiroshima Univ. 16(1953), 425-439. 4. O. Zariski and P. Samuel, Commutative a...

Γ-sheaves on Reductive Groups

Let G be a reductive group over a finite field F = Fq. Fix a non-trivial additive character ψ : F → Q × l . In [3] we introduced certain γ-functions γG,ρ,ψ on the set Irr(G) of irreducible representations of the finite group G = G(F ). As usual every function γG,ρ,ψ on Irr(G) gives rise to an AdG-equivariant function ΦG,ρ,ψ on G. The purpose of this paper is to construct an irreducible perverse...

Reductive Groups

Representations of Reductive Groups

This course consists of two parts. In the first we will study representations of reductive groups over local non-archimedian fields [ such as Qp and Fq((s))]. In this part I’ll closely follow the notes of the course of J.Bernstein. Moreover I’ll often copy big chanks from these notes. In the second the representations of reductive groups over 2-dimensional local fields [ such as Qp((s))]. In th...