Results 41 to 50 of about 14,402,713 (324)
Fundamental Groups, 3-Braids, and Effective Estimates of Invariants [PDF]
, 2020 We define invariants of braids rather than invariants of conjugacy classes of braids. For any pure three-braid we give effective upper and lower bounds for these invariants.
Jöricke, B.
core +2 more sources
$SO(N)_2$ Braid group representations are Gaussian [PDF]
, 2014 We give a description of the centralizer algebras for tensor powers of spin objects in the pre-modular categories $SO(N)_2$ (for $N$ odd) and $O(N)_2$ (for $N$ even) in terms of quantum $(n-1)$-tori, via non-standard deformations of $U\mathfrak{so}_N ...
E. Rowell, H. Wenzl
semanticscholar +1 more source
New Construction of Blind Signatures From Braid Groups
IEEE Access, 2019 A new construction of a blind signature scheme based on braid groups is proposed. In the random oracle model, the proposed scheme is provably unforgeable against chosen message attacks, assuming that the one-more matching conjugate problem in braid ...
Licheng Wang +3 more
doaj +1 more source
, 2004 In the present paper we give a new method for converting virtual knots and links to virtual braids. Indeed the braiding method given in this paper is quite general, and applies to all the categories in which braiding can be accomplished.
Kauffman, Louis H., Lambropoulou, Sofia
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The level four braid group [PDF]
, 2014 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.
Tara E. Brendle, D. Margalit
semanticscholar +1 more source
Generalizations of the standard Artin representation are unitary
International Journal of Mathematics and Mathematical Sciences, 2005 We consider the Magnus representation of the image of the braid group under the generalizations of the standard Artin representation discovered by M. Wada.
Mohammad N. Abdulrahim
doaj +1 more source
The braided Heisenberg group [PDF]
Journal of Mathematical Physics, 1993 The braided groups and braided matrices B(R) for the solution R of the Yang–Baxter equation associated to the quantum Heisenberg group are computed. It is also shown that a particular extension of the quantum Heisenberg group is dual to the Heisenberg universal enveloping algebra Uq(h), and this result is used to derive an action of Uq(h) on the ...
Baskerville, W. K., Majid, S.
openaire +3 more sources
Braid group actions on derived categories of coherent sheaves [PDF]
, 2000 This paper gives a construction of braid group actions on the derived category of coherent sheaves on a variety $X$. The motivation for this is Kontsevich's homological mirror conjecture, together with the occurrence of certain braid group actions in ...
P. Seidel, Richard P. Thomas
semanticscholar +1 more source
Fock Parafermions and Self-Dual Representations of the Braid Group [PDF]
, 2013 We introduce and describe in second quantization a family of particle species with \(p=2,3,\dots\) exclusion and \(\theta=2\pi/p\) exchange statistics.
E. Cobanera, G. Ortiz
semanticscholar +1 more source
Braid group actions via categorified Heisenberg complexes [PDF]
Compositio Mathematica, 2012 We construct categorical braid group actions from 2-representations of a Heisenberg algebra. These actions are induced by certain complexes which generalize spherical (Seidel–Thomas) twists and are reminiscent of the Rickard complexes defined by Chuang ...
S. Cautis +2 more
semanticscholar +1 more source