Journal
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
Volume 367, Issue 6, Pages 4111-4156Publisher
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9947-2015-06169-8
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In 1980 Lusztig proved a stabilisation property of the affine Kazhdan-Lusztig polynomials. In this paper we give a categorical version of such a result using the theory of sheaves on moment graphs. This leads us to associate with any Kac-Moody algebra its stable moment graph.
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