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Soergel calculus and Schubert calculus

2015/02/17 by Xuhua He, He, Xuhua, Geordie Williamson +1
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1502.04914

openalex publication_date 2015/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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