George Lusztig: Discretization of Springer fibres, 255-263

Abstract:

Consider a nilpotent element $e$ of a simple complex Lie algebra. The Springer fibre corresponding to $e$ admits a discretization (discrete analogue) introduced by the author in 1999. In this paper we propose a conjectural description of that discretization which is more amenable to computation. We also propose a conjectural PBW basis of that discretization.

Key Words: Springer fibre, K-group, PBW basis.

2020 Mathematics Subject Classification: 20G99.

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