TY - GEN A1 - Gatermann, Karin T1 - Semi-invariants, equivariants and algorithms. N2 - The results from invariant theory and the results for semi-invariants and equivariants are summarized in a way suitable for the combination with Gröbner basis computation. An algorithm for the determination of fundamental equivariants using projections and a Poincar\'{e} 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 T3 - ZIB-Report - SC-94-11 Y1 - 1994 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/141 UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-1411 ER -