Braid groups are linear groups, Advances in Mathematics, 121 (1996), 50-61.Braid groups are linear groups - BachmuthBraid groups are linear groups - Bachmuth () Citation Context ...ce V . A candidate had been the so-called Burau representation, but as already mentioned it has been ...
Braidgroupsarelinear 系统标签: braidlineargroupsrepresentationburaugarside a r X i v : m a t h / 0 4 0 5 1 9 8 v 1 [ m a t h . G R ] 1 1 M a y 2 0 0 4 AnnalsofMathematics,155(2002),131–156 Braidgroupsarelinear ByDaanKrammer* Abstract Inapreviouswork[11],theauthorcon...
S. Bigelow proved that the braid groups are linear. That is, there is a faithful representation of the braid group into the general linear group of some fi... M Korkmaz - arXiv 被引量: 63发表: 2000年 A GEOMETRIC AND ALGEBRAIC DESCRIPTION OF ANNULAR BRAID GROUPS Recently it has been sho...
Braid groups are linear Daan Krammer Full-Text Cite this paper Add to My Lib Abstract: In a previous work [11], the author considered a representation of the braid group \rho: B_n\to GL_m(\Bbb Z[q^{\pm 1},t^{\pm 1}]) (m=n(n-1)/2), and proved it to be faithful ...
independently proved that all braid groups are linear. Their work used the Lawrence–Krammer representation of dimensionn(n−1)/2 depending on the variablesqandt. By suitably specializing these variables, the braid groupBnmay be realized as a subgroup of the general linear group over the ...
The special linear groups, the mapping class groups of surfaces, the outer autormorphism groups of free groups appear in numerous domains. Their analogies,... F Paulin 被引量: 1发表: 2011年 On the origin of the genetic code: a 27-codon hypothetical precursor of an intricate 64-codon interm...
3.10 Further aspects of braid groups One of the old problems concerning braid groups is the question whether or not they are linear, i.e., whether there exists a faithful linear representation on a finite-dimensional vector space. Significant progress has been made recently on this problem. Kra...
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...
In this paper we indicate one method of construction of linear representations of groups and algebras with translation invariant (except, maybe , finite number) defining relationships. As an illustration of this method, we give one approach to the construction of linear representations of braid group...
There are, in general, many more connections between knot theory and braid groups. Furthermore, the study of these braid groups is also both important to mathematics and applicable to physics. This paper explores the topic of braid groups and braids. The braid groups and the pure braid groups...