2006/02/28 by Vittorino Talamini
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Geometric and Algebraic Topology #Matrix Theory and Algorithms #hep-th #math-ph #math.AG #math.CO #math.MP
paper · pdf · doi:10.1088/1742-6596/30/1/005
published as Journal of Physics: Conference Series 30 (2006) 30--40 · 12 pages, Included in the Proceeding of the 8th Int. School of Th. Physics(SSPCM05), 31/8-7/9 2005, Myczkowce, Poland
openalex publication_date 2006/02/28 · arxiv created 2006/07/23 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
In many physical problems or applications one has to study functions that are invariant under the action of a symmetry group G and this is best done in the orbit space of G if one knows the equations and inequalities defining the orbit space and its strata. It is reviewed how the -matrix is defined in terms of an integrity basis and how it can be used to determine the equations and inequalities defining the orbit space and its strata. It is shown that the -matrix is a useful tool of constructive invariant theory, in fact, when the integrity basis is only partially known, calculating the -matrix elements, one is able to determine the integrity basis completely.