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

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

2007-08-27

arxiv.org/abs/0708.3668v3

Journal of Lie Theory 18 (2008), No. 1, 083--091

Mathematics

Representation Theory

A simple proof of the problem raised in arXiv:math/0606071v1

Scientific paper

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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