Upper bounds of homological invariants of FI_G-modules
classification
🧮 math.RT
math.KTmath.RA
keywords
boundshomologicalupperdegreeinvariantsmodulesactionsapproach
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In this paper we use a homological approach to obtain upper bounds for a few homological invariants of $FI_G$-modules $V$. These upper bounds are expressed in terms of the generating degree and torsion degree, which measure the top and socle of $V$ under actions of non-invertible morphisms in the category respectively.
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