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(Non-)vanishing results for extensions between simple outer functors on free groups

Published 28 Nov 2023 in math.AT and math.CT | (2311.16881v3)

Abstract: We study Ext groups between simple polynomial outer functors on free groups, inspired by an earlier result of Vespa in the category of all polynomial functors on free groups. We prove certain vanishing results for these groups, and show that a Koszul-type property implied by Vespa's result no longer holds when we pass to the full subcategory of polynomial outer functors.

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Authors (1)

  1. Louis Hainaut 

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