1. SOERGEL CALCULUS.
- Author
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ELIAS, BEN and WILLIAMSON, GEORDIE
- Subjects
- *
HECKE algebras , *REPRESENTATION theory , *GENERATORS of groups , *RELATIONS in group theory , *MORPHISMS (Mathematics) - Abstract
The monoidal category of Soergel bimodules is an incarnation of the Hecke category, a fundamental object in representation theory. We present this category by generators and relations, using the language of planar diagrammatics. We show that Libedinsky's light leaves give a basis for morphism spaces and give a new proof and a generalization of Soergel's classification of the indecomposable Soergel bimodules. [ABSTRACT FROM AUTHOR]
- Published
- 2016
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