Reducing Rouquier Complexes

Fuente: arXiv
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Autor principal: Maltoni, Leonardo
Formato: Preprint
Publicado: 2022
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author Maltoni, Leonardo
author_facet Maltoni, Leonardo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2212_00691
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Reducing Rouquier Complexes
Maltoni, Leonardo
Representation Theory
Algebraic Topology
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.
title Reducing Rouquier Complexes
topic Representation Theory
Algebraic Topology
url https://arxiv.org/abs/2212.00691