arXiv Open Access 2013

Normalization of Polynomials in Algebraic Invariants of Three-Dimensional Orthogonal Geometry

Hongbo Li

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

cs.SC math.RA

Penulis (1)

Hongbo Li

Format Sitasi

APA MLA BibTeX

Li, H. (2013). Normalization of Polynomials in Algebraic Invariants of Three-Dimensional Orthogonal Geometry. https://arxiv.org/abs/1302.7194

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓