On the stable moment graph of an affine Kac–Moody algebra

Lanini, Martina

doi:10.1090/S0002-9947-2015-06169-8

On the stable moment graph of an affine Kac–Moody algebra
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Trans. Amer. Math. Soc. 367 (2015), 4111-4156 Request permission

Abstract:

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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