Invariant Chains in Algebra and Discrete Geometry

DOI10.1137/20M1385652zbMath1486.05317arXiv2010.15163OpenAlexW3096487464MaRDI QIDQ5071101

Dinh Van Le, Tim Römer, Thomas Kahle

Publication date: 20 April 2022

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.15163

zbMATH Keywords

conesymmetric groupidealequivariantmonoid

Mathematics Subject Classification ID

Linear programming (90C05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Actions of groups on commutative rings; invariant theory (13A50) Symmetry properties of polytopes (52B15) Representation of semigroups; actions of semigroups on sets (20M30) Group actions on combinatorial structures (05E18)

Related Items (2)

Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry ⋮ Asymptotic regularity of invariant chains of edge ideals

Cites Work

• FI-modules over Noetherian rings.
• Finite Gröbner bases in infinite dimensional polynomial rings and applications
• A Kruskal-Katona type result and applications
• FI- and OI-modules with varying coefficients
• FI-modules and stability for representations of symmetric groups
• Homology of FI-modules
• Equivariant Hilbert series in non-Noetherian polynomial rings
• On the laws of a metabelian variety
• GL-equivariant modules over polynomial rings in infinitely many variables
• Gröbner methods for representations of combinatorial categories
• Equivariant lattice generators and Markov bases
• Noetherianity up to Symmetry
• Finite generation of symmetric ideals
• Polytopes, Rings, and K-Theory
• Lectures on Polytopes
• Equivariant Hilbert series of monomial orbits
• Castelnuovo–Mumford Regularity up to Symmetry
• Codimension and projective dimension up to symmetry
• Ordering by Divisibility in Abstract Algebras
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