Equivariant Hilbert series in non-Noetherian polynomial rings

DOI10.1016/j.jalgebra.2017.05.011zbMath1372.13016arXiv1510.02757OpenAlexW2287195337MaRDI QIDQ2362577

Uwe Nagel, Tim Römer

Publication date: 10 July 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02757

zbMATH Keywords

multiplicityGröbner basisorbitsymmetric groupHilbert functionKrull dimensionmonoid

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Actions of groups on commutative rings; invariant theory (13A50) Graded rings (13A02)

Related Items (21)

Hilbert series of symmetric ideals in infinite polynomial rings via formal languages ⋮ Combinatorial differential algebra of \(x^p\) ⋮ Invariant Chains in Algebra and Discrete Geometry ⋮ Finite numbers of initial ideals in non-Noetherian polynomial rings ⋮ Theorems of Carathéodory, Minkowski–Weyl, and Gordan up to Symmetry ⋮ The Representation Theory of the Increasing Monoid ⋮ Profunctors between posets and Alexander duality ⋮ Shift modules, strongly stable ideals, and their dualities ⋮ Betti numbers of symmetric shifted ideals ⋮ Nonlinear algebra and applications ⋮ Asymptotic regularity of invariant chains of edge ideals ⋮ Shift invariant algebras, Segre products and regular languages ⋮ When are symmetric ideals monomial? ⋮ MFO-RIMS tandem workshop: Symmetries on polynomial ideals and varieties. Abstracts from the MFO-RIMS tandem workshop held September 5--11, 2021 (hybrid meeting) ⋮ Equivariant Hilbert series of monomial orbits ⋮ Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting) ⋮ Symmetric ideals, Specht polynomials and solutions to symmetric systems of equations ⋮ Rationality of equivariant Hilbert series and asymptotic properties ⋮ A Kruskal-Katona type result and applications ⋮ FI- and OI-modules with varying coefficients ⋮ Components of symmetric wide-matrix varieties

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