Reducing Rouquier Complexes
Representation Theory
2024-08-06 v4 Algebraic Topology
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.
Cite
@article{arxiv.2212.00691,
title = {Reducing Rouquier Complexes},
author = {Leonardo Maltoni},
journal= {arXiv preprint arXiv:2212.00691},
year = {2024}
}
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31 pages