The braid group and other groups Not Available GARSIDE,F. A. - 《Quarterly Journal of Mathematics》 被引量: 1043发表: 1969年 The braid group B4 is linear We study a linear representation ρ: B n ?GL m ( Z [ q ±1 , t ±1 ]) with m=n(n -1)/2. We will show that for n...
The braid groupIn trying to establish a theory of braids, the most primitive question we may ask is, How many different (non-equivalent) braids are there?doi:10.1007/978-94-015-9319-9_2Kunio MurasugiBohdan I. KurpitaSpringer Netherlands...
By evaluating the Burau representation at t=-1, we obtain a symplectic representation of the braid group. We study the resulting congruence subgroups of the braid group, namely, the preimages of the principal congruence subgroups of the symplectic group. Our main result is that the level 4 ...
Members can log in by clicking on icon to the right Log in Welcome to the Braid Society For professional braiders, teachers, collectors, researchers, students and everyone interested in the art and craft of making constructed and embellished braids and narrow bands ...
We give a new infinite family of group homomorphisms from the braid group B_k to the symmetric group S_{mk} for all k and m \\geq 2. Most known permutation representations of braids are included in this family. We prove that the homomorphisms in this family are non-cyclic and ...
chain of graphic signs that has freedom of interpretation, this article presents how these different ways of reasoning—which were not only sign based—functioned together within the research of the braid group; it will be shown how they are simultaneously necessary and complementary for each other...
Any system of coupled oscillators may be characterized by its spectrum of resonance frequencies (or eigenfrequencies), which can be tuned by varying the system’s parameters. The relationship between control parameters and the eigenfrequency spectrum is
Chifan, I., Kida, Y., Pant, S.: Primeness results for von Neumann algebras associated with surface braid groups. Int. Math. Res. Not. IMRN 16, 4807–4848 (2016) Article MathSciNet Google Scholar Chifan, I., Sinclair, T.: On the structural theory of II1 factors of negatively cur...
Toadette is a Toad character who first appeared as an unlockable playable character and Toad's default partner in Mario Kart: Double Dash!! Toadette has since appeared in various other games of the Super Mario franchise as a playable or supporting...
摘要: We show that any two elements of the pure braid group either commute or generate a free group, settling a question of Luis Paris. Our proof involves the theory of 3-manifolds and the theory of group actions on trees.关键词: