SAGBI bases for rings of invariant Laurent polynomials

DOI10.1090/S0002-9939-08-09538-5zbMath1160.13002OpenAlexW2059851496WikidataQ117371504 ScholiaQ117371504MaRDI QIDQ3617570

Alexander Duncan, Zinovy Reichstein

Publication date: 30 March 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09538-5

zbMATH Keywords

SAGBI basisgroup actionalgebra of invariantsGödel's conjecture

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (1)

A new class of finitely generated polynomial subalgebras without finite SAGBI bases

Cites Work

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• SAGBI bases in rings of multiplicative invariants
• Multiplicative invariant theory
• The infiniteness of the SAGBI bases for certain invariant rings.
• Finite SAGBI bases for polynomial invariants of conjugates of alternating groups
• Polytopes, Rings, and K-Theory
• On Multiplicative Invariants of Finite Reflection Groups

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