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Wakamatsu tilting subcategories and weak support tau-tilting subcategories in recollement

Published 11 Sep 2024 in math.RT, math.CT, and math.KT | (2409.07026v1)

Abstract: In this article, we prove that if (A, B, C) is a recollement of abelian categories, then wakamatsu tilting (resp. weak support tau-tilting) subcategories in A and C can induce wakamatsu tilting (resp. weak support tau-tilting) subcategories in B, and the converses hold under natural assumptions. As an application, we mainly consider the relationship of tau-cotorsion torsion triples in (A, B, C).

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