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arXiv · 0708.3668

A simple proof of the algebraic version of a conjecture by Vogan

Tim Bratten·Sergio Corti
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Abstract

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 Vogan's conjecture holds for one of the globalizations if and only if it holds for the dual. Using a previously published result of one of the authors, which establishes the conjecture for the minimal globalization, we can therefore deduce Vogan's conjecture for the maximal globalization.

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Tim Bratten, Sergio Corti. 2007-10-08. A simple proof of the algebraic version of a conjecture by Vogan. https://arxiv.org/abs/0708.3668

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