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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