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A Constructive Description of SAGBI Bases for Polynomial Invariants of Permutation Groups

✍ Scribed by Manfred Göbel

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
482 KB
Volume
26
Category
Article
ISSN
0747-7171

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✦ Synopsis

This note presents a detailed analysis and a constructive combinatorial description of SAGBI bases for the R-algebra of G-invariant polynomials. Our main result is a ground ring independent characterization of all rings of polynomial invariants of permutation groups G having a finite SAGBI basis.

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