✦ LIBER ✦

SAGBI bases in rings of multiplicative invariants

✍ Scribed by Z. Reichstein

Book ID: 113013998
Publisher: European Mathematical Society
Year: 2003
Tongue: English
Weight: 288 KB
Volume: 78
Category: Article
ISSN: 0010-2571
DOI: 10.1007/s000140300008

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Constructive Description of SAGBI Base

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

✍ Manfred Göbel 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 482 KB

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.

Applications of SAGBI-bases in dynamics

✍ Karin Gatermann 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 326 KB

The classical reduction techniques of bifurcation theory, Liapunov-Schmidt reduction and centre manifold reduction, are investigated where symmetry is present. The symmetry is given by the action of a finite or continuous group. The symmetry is exploited systematically by using the algebraic structu

Standard monomial bases and geometric co

Standard monomial bases and geometric consequences for certain rings of invariants

✍ Lakshmibai, V. ;Shukla, P. 📂 Article 📅 2006 🏛 Springer-Verlag 🌐 English ⚖ 262 KB

The “smallest” ring of polynomial invari

The “smallest” ring of polynomial invariants of a permutation group which has no finite SAGBI bases w.r.t. any admissible order

✍ Manfred Göbel 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 489 KB

Gröbner Bases for the Rings of Special O

Gröbner Bases for the Rings of Special Orthogonal and 2 × 2 Matrix Invariants

✍ M Domokos; V Drensky 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 110 KB

We present a Gröbner basis for the ideal of relations among the standard generators of the algebra of invariants of the special orthogonal group acting on k-tuples of vectors. The cases of SO 3 and SO 4 are interpreted in terms of the algebras of invariants and semi-invariants of k-tuples of 2 × 2 m

Rings of matrix invariants in positive c

Rings of matrix invariants in positive characteristic

✍ M. Domokos; S.G. Kuzmin; A.N. Zubkov 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 196 KB

Denote by Rn;m the ring of invariants of m-tuples of n × n matrices (m; n ¿ 2) over an inÿnite base ÿeld K under the simultaneous conjugation action of the general linear group. When char(K) = 0, Razmyslov (Izv. Akad. Nauk SSSR Ser. Mat. 38 (1974) 723) and Procesi (Adv. Math. 19 (1976) 306) establis