Electronic Resource
Springer
Applicable algebra in engineering, communication and computing
7 (1996), S. 105-124
ISSN:
1432-0622
Keywords:
Invariant theory
;
Linear representations of finite groups
;
Gröbner bases
;
Computation of fundamental equivariants
;
Solution of systems of polynomial equations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
,
Technology
Notes:
Abstract The results from Invariant Theory and the results for semi-invariants and equivariants are summarized in a suitable way for combining with Gröbner basis computation. An algorithm for the determination of fundamental equivariants using projections and a Poincaré series is described. Secondly, an algorithm is given for the representation of an equivariant in terms of the fundamental equivariants. Several ways for the exact determination of zeros of equivariant systems are discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01191379
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