SOERGEL CALCULUS

作者:Elias Ben*; Williamson Geordie
来源:Representation Theory - An Electronic Journal of the AMS, 2016, 20(12): 295-374.
DOI:10.1090/ert/481

摘要

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.

  • 出版日期2016-10-7