Finite SAGBI bases for polynomial invariants of conjugates of alternating groups

DOI10.1090/S0025-5718-01-01405-3zbMath0994.13003OpenAlexW2087980794MaRDI QIDQ2781223

Manfred Göbel

Publication date: 19 March 2002

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01405-3

zbMATH Keywords

algorithmic invariant theoryrewriting techniquesfinite SAGBI basespolynomial invariants of the alternating group

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Actions of groups on commutative rings; invariant theory (13A50) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (1)

SAGBI bases for rings of invariant Laurent polynomials

Cites Work

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• A constructive description of SAGBI bases for polynomial invariants of permutation groups
• Rewriting techniques and applications. 8th international conference, RTA '97, Sitges, Spain, June 2--5, 1997. Proceedings
• Computing bases for rings of permutation-invariant polynomials
• The ``smallest ring of polynomial invariants of a permutation group which has no finite SAGBI bases w. r. t. any admissible order
• Admissible orders and linear forms

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