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math.RT2007★ 3 cited
A simple proof of the algebraic version of a conjecture by Vogan
Tim Bratten, Sergio Corti
In a recent manuscript, D.Vogan conjectures that four canonical globalizations of Harish-Chandra modules commute with certain n-cohomology groups. In this article we prove that Vog…
math.RT2005
A Geometric Embedding for Standard Analytic Modules
Tim Bratten
In this manuscript we make a general study of the representations realized, for a reductive Lie group of Harish-Chandra class, on the compactly supported sheaf cohomology groups of…
math.RT2003
Comparison Theorem and Geometric Realization of Representations
Tim Bratten
In this paper we generalize the comparison theorem of Hecht and Taylor to arbitrary parabolic subalgebras of a complex reductive Lie algebra and then apply our generalized comparis…