Results 21 to 30 of about 2,228 (168)
Orbifold braid groups and complex braid groups
, 2023 A result of Allock [1](arXiv:math/9907194) states that certain orbifold braid groups contain Artin groups of type $D_n$, $\tilde{B}_n$ and $\tilde{D}_n$ as finite index subgroups. The underlying orbifolds have at most two cone points of order two. Based on [10](arXiv:2305.04273) and [12](arXiv:2305.04273), we generalize this result allowing cone points
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The Interplay between Linear Representations of the Braid Group
International 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
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Megamaps: Construction and Examples [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We consider the usual model of hypermaps or, equivalently, bipartite maps, represented by pairs of permutations that act transitively on a set of edges E.
Alexander Zvonkin
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Cluster Structures on Double Bott–Samelson Cells
Forum of Mathematics, Sigma, 2021 Let $\mathsf {C}$ be a symmetrisable generalised Cartan matrix. We introduce four different versions of double Bott–Samelson cells for every pair of positive braids in the generalised braid group associated to $\mathsf {C}$ .
Linhui Shen, Daping Weng
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Key agreement protocol in infinite semigroup representation level
Lietuvos Matematikos Rinkinys, 2007 Matrix decomposition problem over integer ring is presented. Solving methods are discussed and it is showed, that this problem is hard computational problem regard to computer memory resources.
Artūras Katvickis +2 more
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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 the unrestricted virtual singular braid
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaLet n, m ∈ ℕ, n ≥ 3 and n ≥ m ≥ 2. In this paper, we study some properties of the unrestricted virtual singular braid of braid monoid UVSBmn and group UVSGmn.
Ligouras Panagiote
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On groups Gnk and Γnk: A study of manifolds, dynamics, and invariants
Bulletin of Mathematical Sciences, 2021 Recently, the first named author defined a 2-parametric family of groups Gnk [V. O. Manturov, Non–reidemeister knot theory and its applications in dynamical systems, geometry and topology, preprint (2015), arXiv:1501.05208].
Vassily O. Manturov +3 more
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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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Drinfeld Realization of Quantum Twisted Affine Algebras via Braid Group
Advances in Mathematical Physics, 2016 The Drinfeld realization of quantum affine algebras has been tremendously useful since its discovery. Combining techniques of Beck and Nakajima with our previous approach, we give a complete and conceptual proof of the Drinfeld realization for the ...
Naihuan Jing, Honglian Zhang
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