Soergel calculus
Copyright policy )Soergel calculus
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.
- University of Oregon United States
Representation theory for linear algebraic groups, Representations of finite groups of Lie type, Hecke algebras and their representations, Semisimple Lie groups and their representations, Reflection and Coxeter groups (group-theoretic aspects), Mathematics - Quantum Algebra, FOS: Mathematics, Monoidal categories, symmetric monoidal categories, Quantum Algebra (math.QA), Representation Theory (math.RT), Mathematics - Representation Theory
Representation theory for linear algebraic groups, Representations of finite groups of Lie type, Hecke algebras and their representations, Semisimple Lie groups and their representations, Reflection and Coxeter groups (group-theoretic aspects), Mathematics - Quantum Algebra, FOS: Mathematics, Monoidal categories, symmetric monoidal categories, Quantum Algebra (math.QA), Representation Theory (math.RT), Mathematics - Representation Theory
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