Categorical diagonalization of full twists

2017/12/30 by Elias, Ben, Hogancamp, Matthew · 3 citations
#FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1801.00191

Abstract

We conjecture that the complex of Soergel bimodules associated with the full twist braid is categorically diagonalizable, for any finite Coxeter group. This utilizes the theory of categorical diagonalization introduced earlier by the authors. We prove our conjecture in type A, and as a result we obtain a categorification of the Young idempotents.

Cited by

• Doubly-graded exponential growth of colored torus knot homology
• Higher Idempotent Completion for Soergel Bimodules
• Factorizations in Hecke algebras I: long cycle factorizations and Jucys-Murphy elements

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