Results 1 to 10 of about 4,495 (311)

The braid group: redefining [PDF]

open access: yesMATEC Web of Conferences, 2018
The role of the braid group constitutes one of the invariant measurements. Through the classification of braids formed several parts of the braid group, but does not computationally distinguish them.
Nasution Mahyuddin K M
doaj   +2 more sources

Krammer's Representation of the Pure Braid Group, 𝑃3 [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2010
We consider Krammer's representation of the pure braid group on three strings: 𝑃3→𝐺𝐿(3,𝑍[𝑡±1,𝑞±1]), where 𝑡 and 𝑞 are indeterminates. As it was done in the case of the braid group, 𝐵3, we specialize the indeterminates 𝑡 and 𝑞 to nonzero complex numbers ...
Mohammad N. Abdulrahim, Madline Al-Tahan
doaj   +2 more sources

Characteristics of Graph Braid Groups [PDF]

open access: yesDiscrete and Computational Geometry, 2012
44 pages, 19 ...
Ki Hyoung Ko
exaly   +5 more sources

The Interplay between Linear Representations of the Braid Group [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
We consider Wada's representation as a twisted version of the standard action of the braid group, Bn, on the free group with n generators. Constructing a free group, Gnm, of rank nm, we compose Cohen's map Bn→Bnm and the embedding Bnm→Aut(Gnm) via Wada's
Mohammad N. Abdulrahim, Nibal H. Kassem
doaj   +2 more sources

On presentations of surface braid groups

open access: yesJournal of Algebra, 2004
23 pages, 11 figures.
Paolo Bellingeri
exaly   +4 more sources

Higher Braid Groups and Regular Semigroups from Polyadic-Binary Correspondence

open access: yesMathematics, 2021
In this note, we first consider a ternary matrix group related to the von Neumann regular semigroups and to the Artin braid group (in an algebraic way).
Steven Duplij
doaj   +1 more source

Post-Quantum Signature Scheme Based on the Root Extraction Problem over Mihailova Subgroups of Braid Groups

open access: yesMathematics, 2023
In this paper, by introducing an isomorphism from the Mihailova subgroup of F2×F2 to the Mihailova subgroups of a braid group, we give an explicit presentation of Mihailova subgroups of a braid group.
Hanling Lin, Xiaofeng Wang, Min Li
doaj   +1 more source

Key agreement protocol in Braid group representation level

open access: yesLietuvos Matematikos Rinkinys, 2021
In this paper the key agreement protocol is given and the applicationof it in Braid groups is suggested. The one way of protocol is being justified.
Povilas Tvarijonas   +2 more
doaj   +1 more source

BRAID GROUP AND q-RACAH POLYNOMIALS [PDF]

open access: yes, 2021
International audienceThe irreducible representations of two intermediate Casimir elements associated to the recoupling of three identical irreducible representations of U q (sl 2) are considered.
Zaimi, Meri   +2 more
core   +1 more source

Polyadic Braid Operators and Higher Braiding Gates

open access: yesUniverse, 2021
A new kind of quantum gates, higher braiding gates, as matrix solutions of the polyadic braid equations (different from the generalized Yang–Baxter equations) is introduced. Such gates lead to another special multiqubit entanglement that can speed up key
Steven Duplij, Raimund Vogl
doaj   +1 more source

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