ABSTRACT
In his book (Procesi,C., 2007), Claudio Procesi suggested a
new algorithm for computing covariants of binary forms under
the action of SL(2;C), based on an iterative computations
of covariants of the simpler group U+. In Procesi book the
computation was carried out only for binary forms of degree
3 and 4, but the _rst signi_cant test for the algorithm would
be the computation for degree 5. In 2010 summer school in
Algebra organized by ICTP in Kenya, Procesi suggested the
implementation of his algorithm as a project. In this thesis we
implement a modi_cation of the original Procesi algorithm on the
computer algebra system CoCoA, study its general properties and
test it with the complete description of generators and relations of
the algebra of covariants of binary forms of degree 5. The modi_ed
form of Procesi algorithm computes covariants iteratively with
respect to the degree of a covariant. The implementation was
tested in the computation of covariants of binary forms of degree
5, which produces 23 covariants of degree up to 18. The algorithm
produces the explicit list of covariants and rheir relations. As far
as we know this is the most explicit description of the complete
list of relations which is made available so far.
Lawrence, K (2021). Implementation Of A Modified Procesi Algorithm To Compute Covariants Of Binary Forms Of Up To Degree Five And Their Relations. Afribary. Retrieved from https://track.afribary.com/works/implementation-of-a-modified-procesi-algorithm-to-compute-covariants-of-binary-forms-of-up-to-degree-five-and-their-relations
Lawrence, Kariuki "Implementation Of A Modified Procesi Algorithm To Compute Covariants Of Binary Forms Of Up To Degree Five And Their Relations" Afribary. Afribary, 02 Jun. 2021, https://track.afribary.com/works/implementation-of-a-modified-procesi-algorithm-to-compute-covariants-of-binary-forms-of-up-to-degree-five-and-their-relations. Accessed 23 Nov. 2024.
Lawrence, Kariuki . "Implementation Of A Modified Procesi Algorithm To Compute Covariants Of Binary Forms Of Up To Degree Five And Their Relations". Afribary, Afribary, 02 Jun. 2021. Web. 23 Nov. 2024. < https://track.afribary.com/works/implementation-of-a-modified-procesi-algorithm-to-compute-covariants-of-binary-forms-of-up-to-degree-five-and-their-relations >.
Lawrence, Kariuki . "Implementation Of A Modified Procesi Algorithm To Compute Covariants Of Binary Forms Of Up To Degree Five And Their Relations" Afribary (2021). Accessed November 23, 2024. https://track.afribary.com/works/implementation-of-a-modified-procesi-algorithm-to-compute-covariants-of-binary-forms-of-up-to-degree-five-and-their-relations