Results 21 to 30 of about 3,969 (116)
[Retracted] Double Weak Hopf Quiver and Its Path Coalgebra
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 The main input of this research is the introduction of the concept of double weak Hopf quiver (DWHQ). In addition, the structures of weak Hopf algebra (WHA) are obtained through path coalgebra of the proposed quivers. Furthermore, the module and comodule structures on the said WHA are discussed.
Muhammad Naseer Khan +6 more
wiley +1 more source
Conjugacy problem for braid groups and Garside groups [PDF]
, 2003 We present a new algorithm to solve the conjugacy problem in Artin braid groups, which is faster than the one presented by Birman, Ko and Lee. This algorithm can be applied not only to braid groups, but to all Garside groups (which include finite type ...
González-Meneses López, Juan +1 more
core +1 more source
MARKOV AND ARTIN NORMAL FORM THEOREM FOR BRAID GROUPS [PDF]
International Journal of Algebra and Computation, 2007 In this paper we will present the results of Artin–Markov on braid groups by using the Gröbner–Shirshov basis. As a consequence we can reobtain the normal form of Artin–Markov–Ivanovsky as an easy corollary.
Bokut, L. A. +2 more
openaire +3 more sources
On the structure of the centralizer of a braid [PDF]
, 2003 The mixed braid groups are the subgroups of Artin braid groups whose elements preserve a given partition of the base points. We prove that the centralizer of any braid can be expressed in terms of semidirect and direct products of mixed braid groups ...
Gonzalez-Meneses, Juan, Wiest, Bert
core +2 more sources
Graph 4-braid groups and Massey products [PDF]
, 2014 We first show that the braid group over a graph topologically containing no $\Theta$-shape subgraph has a presentation related only by commutators. Then using discrete Morse theory and triple Massey products, we prove that a graph topologically contains ...
Hyo +3 more
core +1 more source
One-dimensional actions of Higman's group
Discrete Analysis, 2019 One-dimensional actions of Higman's group, Discrete Analysis 2019:20, 15 pp. In 1951 Higman constructed the first known example of an infinite finitely generated simple group. He began with the group $H$ that has presentation $\langle a,b,c,d|aba^{-1}=b^
Cristobal Rivas, Michele Triestino
doaj +1 more source
Braid groups and Artin groups [PDF]
, 2009 This article is a survey on the braid groups, the Artin groups, and the Garside groups. It is a presentation, accessible to non-experts, of various topological and algebraic aspects of these groups. It is also a report on three points of the theory: the faithful linear representations, the cohomology, and the geometrical representations.
openaire +2 more sources
The lower central and derived series of the braid groups of the sphere and the punctured sphere [PDF]
, 2006 Our aim is to determine the lower central series (LCS) and derived series (DS) for the braid groups of the sphere and of the finitely-punctured sphere. We show that for all n (resp. all n\geq 5), the LCS (resp.
Gonçalves, Daciberg Lima, Guaschi, John
core +4 more sources
Some Aspects of Mathematical and Physical Approaches for Topological Quantum Computation [PDF]
Computer Science Journal of Moldova, 2011 A paradigm to build a quantum computer, based on topological invariants is highlighted. The identities in the ensemble of knots, links and braids originally discovered in relation to topological quantum field theory are shown: how they define Artin ...
V. Kantser
doaj
Intersection of parabolic subgroups in Euclidean braid groups: a short proof
Comptes Rendus. MathématiqueWe give a short proof for the fact, already proven by Thomas Haettel, that the arbitrary intersection of parabolic subgroups in Euclidean Braid groups $A[\tilde{A}_n]$ is again a parabolic subgroup. To that end, we use that the spherical-type Artin group
Cumplido, María +2 more
doaj +1 more source