Results 11 to 20 of about 4,495 (311)
Growth Series of the Braid Monoid MB5 in Band Generators
Advances in Mathematical Physics, 2022 Growth series is an important invariant associated with group or monoid which classifies all the words of group or monoid. Therefore, the growth series of braid monoids and Hecke algebras in Artin’s generators is presented in many scholarly published ...
Muhammad Haleem Khan, Zaffar Iqbal
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Topological quantum computation on supersymmetric spin chains
Journal of High Energy Physics, 2023 Quantum gates built out of braid group elements form the building blocks of topological quantum computation. They have been extensively studied in SU(2) k quantum group theories, a rich source of examples of non-Abelian anyons such as the Ising (k = 2 ...
Indrajit Jana +3 more
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The braided Heisenberg group [PDF]
Journal of Mathematical Physics, 1993 The braided groups and braided matrices B(R) for the solution R of the Yang–Baxter equation associated to the quantum Heisenberg group are computed. It is also shown that a particular extension of the quantum Heisenberg group is dual to the Heisenberg universal enveloping algebra Uq(h), and this result is used to derive an action of Uq(h) on the ...
Baskerville, W. K., Majid, S.
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On Artin's braid group and polyconvexity in the calculus of variations [PDF]
, 2003 Let Ω ⊂ 2 be a bounded Lipschitz domain and let F : Ω × 2×2 + −→ be a Carathèodory integrand such that F (x, ·) is polyconvex for L2-a.e. x ∈ Ω. Moreover assume that F is bounded from below and satisfies the condition F (x, ξ) ∞ as det ξ 0 for L2-
ALI TAHERI +2 more
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q-deformed rational numbers and the 2-Calabi–Yau category of type $A_{2}$
Forum of Mathematics, Sigma, 2023 We describe a family of compactifications of the space of Bridgeland stability conditions of a triangulated category, following earlier work by Bapat, Deopurkar and Licata. We particularly consider the case of the 2-Calabi–Yau category of the $A_2$
Asilata Bapat +2 more
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Applied Categorical Structures, 2013 We introduce and study a family of groups $\mathbf{BB}_n$, called the blocked-braid groups, which are quotients of Artin's braid groups $\mathbf{B}_n$, and have the corresponding symmetric groups $Σ_n$ as quotients. They are defined by adding a certain class of geometrical modifications to braids.
D. Maglia +2 more
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Topological Quantum Computing and 3-Manifolds
Quantum Reports, 2021 In this paper, we will present some ideas to use 3D topology for quantum computing. Topological quantum computing in the usual sense works with an encoding of information as knotted quantum states of topological phases of matter, thus being locked into ...
Torsten Asselmeyer-Maluga
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Local representations of the loop braid group [PDF]
, 2017 We study representations of the loop braid group LBn from the perspective of extending representations of the braid group Bn. We also pursue a generalization of the braid/Hecke/Temperlely-Lieb paradigm-uniform finite dimensional quotient algebras of the ...
Wang, Z, Kadar, Z, Rowell, E, Martin, P
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The level four braid group [PDF]
, 2018 By evaluating the Burau representation at t=-1, we obtain a symplectic representation of the braid group. We study the resulting congruence subgroups of the braid group, namely, the preimages of the principal congruence subgroups of the symplectic group.
Brendle, Tara E., Margalit, Dan
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Topological model of composite fermions in the cyclotron band generator picture: New insights
Results in Physics, 2018 A combinatorial group theory in the braid groups is correlated with the unusual “anyon” statistic of particles in 2D Hall system in the fractional quantum regime well.
Beata Staśkiewicz
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