Fiebig P (2008)
Publication Type: Journal article
Publication year: 2008
Publisher: Elsevier
Book Volume: 217
Pages Range: 683-712
Journal Issue: 2
DOI: 10.1016/j.aim.2007.08.008
To any moment graph G we assign a subcategory V of the category of sheaves on G together with an exact structure. We show that in the case that the graph is associated to a non-critical block of the equivariant category O over a symmetrizable Kac–Moody algebra, V is equivalent (as an exact category) to the subcategory of modules that admit a Verma flag. The projective modules correspond under this equivalence to the intersection cohomology sheaves on the graph, and hence, by a theorem of Braden and MacPherson, to the equivariant intersection cohomologies of Schubert varieties associated to Kac–Moody groups.
APA:
Fiebig, P. (2008). Sheaves on moment graphs and a localization of Verma flags. Advances in Mathematics, 217(2), 683-712. https://dx.doi.org/10.1016/j.aim.2007.08.008
MLA:
Fiebig, Peter. "Sheaves on moment graphs and a localization of Verma flags." Advances in Mathematics 217.2 (2008): 683-712.
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