Discretization of Springer fibers

2017/12/20 by G. Lusztig, Lusztig, G.
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1712.07530

9 pages

openalex publication_date 2017/12/20 · arxiv created 2021/02/08 · arxiv updated 2021/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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