Stratifying systems and g-vectors - Sorbonne Université
Journal Articles Journal of Pure and Applied Algebra Year : 2023

Stratifying systems and g-vectors

Abstract

In this paper we study the Cartan matrix associated to the Ext-projective stratifying system induced by a basic and τ-rigid object M in mod (A) by means of the g-vectors of the indecomposable direct summands of M. In particular we show that the Cartan group of a stratifying system associated to a τ-rigid module can be calculated directly using these vectors. Moreover we characterise the stratifying systems coming from τ-rigid modules that have a diagonal Cartan matrix.
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Dates and versions

hal-03815084 , version 1 (14-10-2022)

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Octavio Mendoza, Corina Sáenz, Hipolito Treffinger. Stratifying systems and g-vectors. Journal of Pure and Applied Algebra, 2023, 227 (3), pp.107212. ⟨10.1016/j.jpaa.2022.107212⟩. ⟨hal-03815084⟩
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