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arXiv · 1801.00191

Categorical diagonalization of full twists

Ben Elias·Matthew Hogancamp
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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.

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Ben Elias, Matthew Hogancamp. 2017-12-30. Categorical diagonalization of full twists. https://arxiv.org/abs/1801.00191

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