2013/02/27 by Hongbo Li, Li, Hongbo
Computer Science · Engineering · Mathematics · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Algebraic and Geometric Analysis #FOS: Computer and information sciences #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #Symbolic Computation (cs.SC) #cs.SC #math.RA
paper · pdf · doi:10.48550/arxiv.1302.7194
arxiv created 2013/02/27 · openalex publication_date 2013/02/27 · arxiv updated 2013/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
In classical invariant theory, the Gröbner base of the ideal of syzygies and the normal forms of polynomials of invariants are two core contents. To improve the performance of invariant theory in symbolic computing of classical geometry, advanced invariants are introduced via Clifford product. This paper addresses and solves the two key problems in advanced invariant theory: the Gröbner base of the ideal of syzygies among advanced invariants, and the normal forms of polynomials of advanced invariants. These results beautifully extend the straightening of Young tableaux to advanced invariants.