Soergel Calculus and Schubert Calculus
by Xuhua He   Geordie Williamson  

Vol. 13 No. 3 (2018) P.317~P.350

DOI:	https://doi.org/10.21915/BIMAS.2018303
	10.21915/BIMAS.2018303

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
Soergel bimodules, intersection forms, nil Hecke ring, Schubert calculus.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 20C20, 20C08, 20C33, 55N33, 14N15.

MILESTONES

Received: 2016-05-05
Revised : 2016-05-11
Accepted: 2016-05-26

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