English

Discretization of Springer fibers

Representation Theory 2021-02-10 v3

Abstract

Consider a nilpotent element e in 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 analogue of that discretization. This version differs substantially from the previous one.

Keywords

Cite

@article{arxiv.1712.07530,
  title  = {Discretization of Springer fibers},
  author = {G. Lusztig},
  journal= {arXiv preprint arXiv:1712.07530},
  year   = {2021}
}

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9 pages