On the stable moment graph of an affine Kac–Moody algebra
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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.References
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Additional Information
- Martina Lanini
- Affiliation: Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria 3010, Australia
- MR Author ID: 990628
- Email: martina.lanini@unimelb.edu.au
- Received by editor(s): January 28, 2013
- Received by editor(s) in revised form: April 30, 2013
- Published electronically: February 3, 2015
- © Copyright 2015
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 367 (2015), 4111-4156
- MSC (2010): Primary 05E10, 17B67, 20C08
- DOI: https://doi.org/10.1090/S0002-9947-2015-06169-8
- MathSciNet review: 3324922