Character sheaves for graded Lie algebras: Stable gradings

K Vilonen; T Xue

Journal article

Character sheaves for graded Lie algebras: Stable gradings

K Vilonen, T Xue

Advances in Mathematics | Published : 2023

DOI: 10.1016/j.aim.2023.108935

Abstract

In this paper we construct full support character sheaves for stably graded Lie algebras. Conjecturally these are precisely the cuspidal character sheaves. Irreducible representations of Hecke algebras associated to complex reflection groups at roots of unity enter the description. We do so by analysing the Fourier transform of the nearby cycle sheaves constructed in [8].

University of Melbourne Researchers

Kari Vilonen Author

Ting Xue Author

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Grants

Awarded by Australian Research Council

Funding Acknowledgements

KV was supported in part by the ARC grants DP150103525, DP180101445, FL200100141 and the Academy of Finland grant 322218. TX was supported in part by the ARC grant DP150103525.