Computational Construction of Representation Matrices for 3-Parallel Version Polynomial Invariants of 5-Braids
スポンサーリンク
概要
- 論文の詳細を見る
We construct representation matrices necessary for the calculation of 3-parallel version polynomial invariants, called Murakami's invariants, of knots with 5-braid forms by using W-graphs of Hecke algebras H (q, 15). We have already constructed the irreducible representations of H (q, 15), however, the direct calculations of invariants from these representations need huge amount of computation power and memory space. Hence, we construct certain subspaces of representation matrices. We also verified that we can compute Murakami's invariants of knots with 5-braid forms, including Terasaka-Kinoshita knot and Conway knot within adequate computing time by using such the sub-matrix representations.
- 一般社団法人情報処理学会の論文
- 1999-12-15
著者
-
Kako Fujio
Department Of Information And Computer Sciences Faculty Of Science Nara Women's University
-
Kako Fujio
Department Of Applied Mathematics Faculty Of Engineering Hiroshima University
-
OCHIAI MITSUYUKI
Department of Information and Computer Sciences, Faculty of Science, Nara Women's University
-
Ochiai Mitsuyuki
Department Of Information And Computer Sciences Faculty Of Science Nara Women's University
-
Kato Fujio
Department of Information and Computer Sciences, Faculty of Science, Nara Women's University
-
Kato Fujio
Department of Information and Computer Sciences, Faculty of Science, Nara Women's University
関連論文
- Two-Dimensional Toda Lattice Equations
- Toda Lattice with Mass Interface.II.Coupled Toda Lattice
- Toda Lattice with Mass Interface.I.Scattering of Soliton
- Complete Integrability of General Nonlinear Differential-Difference Equations Solvable by the Inverse Method. I
- Complete Integrability of General Nonlinear Differential-Difference Equations Solvable by the Inverse Method. II
- Complete Integrability of Nonlinear Differential-Difference Equations (Theory of Nonlinear Waves)
- Complete Integrability of Nonlinear Network Equations Describing a Volterra System
- Computational Construction of Representation Matrices for 3-Parallel Version Polynomial Invariants of 5-Braids
- Solving Multivariate Algebraic Equation by Hensel Construction
- Inverse Method Applied to the Solution of Nonlinear Network Equations Describing a Volterra System
- Homeomorphisms on a three dimensional handle
- A counterexample to a conjecture of Whitehead and Volodin-Kuznetsov-Fomenko