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Mathematics Academia Sinica
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2018 / September Volume 13 No.3
Soergel Calculus and Schubert Calculus
Published Date
2018 / September
Title
Soergel Calculus and Schubert Calculus
Author
Xuhua He, Geordie Williamson
Keyword
Soergel bimodules, intersection forms, nil Hecke ring, Schubert calculus., Soergel bimodules, intersection forms, nil Hecke ring, Schubert calculus.
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Pagination
317-350
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.
DOI
10.21915/BIMAS.2018303
https://doi.org/10.21915/BIMAS.2018303
AMS Subject
Classification
20C20, 20C08, 20C33, 55N33, 14N15.
Received
2016-05-11
Accepted
2016-05-26
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