Mathematics > Representation Theory
[Submitted on 1 Dec 2022 (v1), last revised 5 Aug 2024 (this version, v4)]
Title:Reducing Rouquier Complexes
View PDFAbstract: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.
Submission history
From: Leonardo Maltoni [view email][v1] Thu, 1 Dec 2022 17:50:13 UTC (67 KB)
[v2] Wed, 20 Mar 2024 06:03:05 UTC (93 KB)
[v3] Mon, 20 May 2024 06:15:42 UTC (94 KB)
[v4] Mon, 5 Aug 2024 04:14:02 UTC (94 KB)
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