Results 11 to 20 of about 14,402,713 (324)
Quantum supergroups V. Braid group action
Communications in Mathematical Physics, 2016 We construct a braid group action on quantum covering groups. We further use this action to construct a PBW basis for the positive half in finite type which is pairwise-orthogonal under the inner product.
Clark, Sean, Hill, David
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Braid group action and quantum affine algebras [PDF]
Communications in Mathematical Physics, 1994 We lift the lattice of translations in the extended affine Weyl group to a braid group action on the quantum affine algebra. This action fixes the Heisenberg subalgebra pointwise.
J. Beck
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On the braid group representations coming from weakly group-theoretical fusion categories [PDF]
Journal of Algebra and its Applications, 2019 We prove that representations of the braid groups coming from weakly group-theoretical braided fusion categories have finite images.
Jason R. Green, D. Nikshych
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Braid Group Action on Affine Yangian [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2018 We study braid group actions on Yangians associated with symmetrizable Kac-Moody Lie algebras. As an application, we focus on the affine Yangian of type A and use the action to prove that the image of the evaluation map contains the diagonal Heisenberg ...
R. Kodera
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Braid group actions for quantum symmetric pairs of type AIII/AIV [PDF]
, 2019 In the present paper we construct braid group actions on quantum symmetric pair coideal subalgebras of type AIII/AIV. This completes the proof of a conjecture by Kolb and Pellegrini in the case where the underlying Lie algebra is $\mathfrak{sl}_n$.
Liam Dobson
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Braid group symmetries of Grassmannian cluster algebras [PDF]
Selecta Mathematica, 2017 Let Gr∘(k,n)⊂Gr(k,n)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\,\
C. Fraser
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Polyadic Braid Operators and Higher Braiding Gates
Universe, 2021 A new kind of quantum gates, higher braiding gates, as matrix solutions of the polyadic braid equations (different from the generalized Yang–Baxter equations) is introduced. Such gates lead to another special multiqubit entanglement that can speed up key
Steven Duplij, Raimund Vogl
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Majorana Fermions and representations of the braid group [PDF]
International Journal of Modern Physics A, 2017 In this paper we study unitary braid group representations associated with Majorana Fermions. Majorana Fermions are represented by Majorana operators, elements of a Clifford algebra.
L. Kauffman
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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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