Results 61 to 70 of about 2,228 (168)
Quantized braided groups [PDF]
Journal of Mathematical Physics, 1994 Algebras that represent a generalization of both quantum groups, quantum supergroups, and braided groups are defined. They are given by a pair of solutions of the Yang–Baxter equation that satisfy some additional conditions. Several examples are presented.
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Hurwitz components of groups with socle PSL(3, q)
Extracta Mathematicae, 2021 For a finite group G, the Hurwitz space Hinr,g(G) is the space of genus g covers of the Riemann sphere P1 with r branch points and the monodromy group G. In this paper, we give a complete list of some almost simple groups of Lie rank two.
H.M. Mohammed Salih
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Braided Clifford Algebras as Braided Quantum Groups
, 1995 The paper deals with braided Clifford algebras, understood as Chevalley-Kahler deformations of braided exterior algebras. It is shown that Clifford algebras based on involutive braids can be naturally endowed with a braided quantum group structure. Basic group entities are constructed explicitly.
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, 2020 17 pages, 8 figures, v2: new title and more motivation to put these new braid like groups into ...
Baader, Sebastian, Lönne, Michael
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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
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Survey of braid-based cryptography
Tongxin xuebao, 2009 The achievements of braid-based cryptography were surveyed: some recently developed cryptographic schemes were introduced, including key exchange protocols enciphering-deciphering and authentication schemes.
ZHU Ping1, WEN Qiao-yan2
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Journal of High Energy PhysicsFibonacci anyons ε provide the simplest possible model of non-Abelian fusion rules: [1] × [1] = [0] ⊕ [1]. We propose a conformal field theory construction of topological quantum registers based on Fibonacci anyons realized as quasiparticle excitations ...
Ludmil Hadjiivanov, Lachezar S. Georgiev
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The braid group injects in the virtual braid group
, 2020 The virtual braid groups are generalizations of the classical braid groups. This paper gives an elementary proof that the classical braid group injects into the virtual braid group over the same number of strands.
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Extending the planar theory of anyons to quantum wire networks
SciPost PhysicsThe braiding of the worldlines of particles restricted to move on a network (graph) is governed by the graph braid group, which can be strikingly different from the standard braid group known from two-dimensional physics.
Tomasz Maciazek, Mia Conlon, Gert Vercleyen, J. K. Slingerland
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