English

Soergel calculus and Schubert calculus

Representation Theory 2016-05-05 v2

Abstract

We reduce some key calculations of compositions of morphisms between Soergel bimodules ("Soergel calculus") to calculations in the nil Hecke ring ("Schubert calculus"). This formula has several applications in modular representation theory.

Keywords

Cite

@article{arxiv.1502.04914,
  title  = {Soergel calculus and Schubert calculus},
  author = {Xuhua He and Geordie Williamson},
  journal= {arXiv preprint arXiv:1502.04914},
  year   = {2016}
}

Comments

23 pages, many TikZ pictures, best viewed in colour and pdf. v2: very minor changes

R2 v1 2026-06-22T08:31:26.446Z