Results 21 to 30 of about 4,495 (311)
Journal of Knot Theory and Its Ramifications, 2012 Let Hgbe a genus g handlebody and MCG2n( Tg) be the group of the isotopy classes of orientation preserving homeomorphisms of Tg= ∂ Hg, fixing a given set of 2n points. In this paper we study two particular subgroups of MCG2n( Tg) which generalize Hilden groups defined by Hilden in [Generators for two groups related to the braid groups, Pacific J.
Bellingeri, P, CATTABRIGA, ALESSIA
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UNIVERSAL REPRESENTATIONS OF BRAID AND BRAID-PERMUTATION GROUPS [PDF]
Journal of Knot Theory and Its Ramifications, 2009 Drinfel'd used associators to construct families of universal representations of braid groups. We consider semi-associators (i.e. we drop the pentagonal axiom and impose a normalization in degree one). We show that the process may be reversed, to obtain semi-associators from universal representations of 3-braids.
Berceanu, Barbu, Papadima, Ştefan
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On groups Gnk, braids and Brunnian braids [PDF]
Journal of Knot Theory and Its Ramifications, 2016 In [V. O. Manturov, arXiv:1501.05208v1 ], the second author defined the [Formula: see text]-free braid group with [Formula: see text] strands [Formula: see text]. These groups appear naturally as groups describing dynamical systems of [Formula: see text] particles in some “general position”. Moreover, in [V. O. Manturov and I. M. Nikonov, J.
Kim, Seongjeong, Manturov, V. O.
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Twisted Virtual Braid Group [PDF]
, 2023 In this paper we study some subgroups and their decompositions in semi-direct product of the twisted virtual braid group $TVB_n$. In particular, the twisted virtual pure braid group $TVP_n$ is the kernel of an epimorphism of $TVB_n$ onto the symmetric ...
Kozlovskaya, Tatyana A. +3 more
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A Graphical Calculus for Quantum Computing with Multiple Qudits using Generalized Clifford Algebras [PDF]
QuantumIn this work, we develop a graphical calculus for multi-qudit computations with generalized Clifford algebras, building off the algebraic framework developed in our prior work.
Robert Lin
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Attack on Kayawood protocol: uncloaking private keys
Journal of Mathematical Cryptology, 2020 We analyze security properties of a two-party key-agreement protocol recently proposed by I. Anshel, D. Atkins, D. Goldfeld, and P. Gunnels, called Kayawood protocol.
Kotov Matvei +2 more
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On the Unitary Representations of the Braid Group B6
Mathematics, 2019 We consider a non-abelian leakage-free qudit system that consists of two qubits each composed of three anyons. For this system, we need to have a non-abelian four dimensional unitary representation of the braid group B 6 to obtain a totally ...
Malak M. Dally, Mohammad N. Abdulrahim
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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
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Generalized braid group actions [PDF]
, 2021 Consider a diagrammatic category whose objects are partitions of n and whose morphisms are braids with multiplicities where strands are allowed to merge and come apart, so topologically such a braid is a trivalent graph with boundary. In addition, we add
Anno, Rina
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The braid-permutation group [PDF]
, 1997 We consider the subgroup of the automorphism group of the free group generated by the braid group and the permutation group. This is proved to be the same as the subgroup of automorphisms of permutation-conjugacy type and is represented by generalised ...
Richárd Rimányi (16071419) +5 more
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