Depth and the local cohomology of \(\mathcal{FI}_G\)-modules

DOI10.1016/j.aim.2018.02.029zbMath1398.13016arXiv1602.04405OpenAlexW2964137988MaRDI QIDQ1744560

Liping Li, Eric Ramos

Publication date: 23 April 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04405

zbMATH Keywords

local cohomologyrepresentation stabilityFI-modules

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Local cohomology and commutative rings (13D45)

Related Items (15)

Regularity of 𝐅𝐈-modules and local cohomology ⋮ Castelnuovo-Mumford regularity of representations of certain product categories ⋮ Asymptotic behavior of representations of graded categories with inductive functors ⋮ Bounds on homological invariants of VI-modules ⋮ The spectrum of a twisted commutative algebra ⋮ Some examples of simple generic 𝐹𝐼-modules in positive characteristic ⋮ Regularity and stable ranges of \textbf{FI}-modules ⋮ An inductive method for OI-modules ⋮ An inductive machinery for representations of categories with shift functors ⋮ Classifying global dimensions of category algebras of some finite combinational categories ⋮ \(FI\)-modules over preadditive categories and torsion theories ⋮ \(\mathrm{FI}^{m}\)-modules over Noetherian rings ⋮ VI-modules in nondescribing characteristic. I ⋮ On the local cohomology of L-shaped integral FI-modules ⋮ A generating function approach to new representation stability phenomena in orbit configuration spaces

Cites Work

• Upper bounds of homological invariants of \({FI_G}\)-modules
• FI-modules over Noetherian rings.
• Filtrations and homological degrees of FI-modules
• \(\mathrm{FI}_{\mathcal W}\)-modules and stability criteria for representations of classical Weyl groups.
• Linear and quadratic ranges in representation stability
• Syzygies of Segre embeddings and \(\Delta\)-modules
• FI-modules and stability for representations of symmetric groups
• Homology of FI-modules
• Representation theory and homological stability.
• Sur quelques points d'algèbre homologique
• GL-equivariant modules over polynomial rings in infinitely many variables
• Des propriétés de finitude des foncteurs polynomiaux
• Gröbner methods for representations of combinatorial categories
• Homological degrees of representations of categories with shift functors
• Regularity of 𝐅𝐈-modules and local cohomology
• Coinduction functor in representation stability theory
• The Geometry of Syzygies
• Foncteurs Faiblement Polynomiaux

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