This paper is about algorithmic invariant theory as it is required within equivariant dynamical systems. The question of generic bifurcation equations (arbitrary equivariant polynomial vector) requires the knowledge of fundamental invariants and equivariants. We discuss computations which are relate
Gröbner bases and invariant theory
✍ Scribed by Bernd Sturmfels; Neil White
- Book ID
- 107710022
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 892 KB
- Volume
- 76
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper, we study conditions on algebras with multiplicative bases so that there is a Gröbner basis theory. We introduce right Gröbner bases for a class of modules. We give an elimination theory and intersection theory for right submodules of projective modules in path algebras. Solutions to h
We show how the complexity of counting relates to the well known phenomenon that computing Gröbner bases under a lexicographic order is generally harder than total degree orders. We give simple examples of polynomials for which it is very easy to compute their Gröbner basis using a total degree orde
In this paper we introduce the concept of bi-automaton algebras, generalizing the automaton algebras previously defined by Ufnarovski. A bi-automaton algebra is a quotient of the free algebra, defined by a binomial ideal admitting a Gröbner basis which can be encoded as a regular set; we call such a