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arXiv · 2212.00691

Reducing Rouquier Complexes

Leonardo Maltoni
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Abstract

We describe reduced representatives for positive Rouquier complexes. These are obtained via Morse theoretical Gaussian elimination from the corresponding standard representatives. The underlying graded object is still a direct sum of Bott-Samelson objects, but over subwords rather than subexpressions.

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Leonardo Maltoni. 2022-12-01. Reducing Rouquier Complexes. https://arxiv.org/abs/2212.00691

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