Results 11 to 20 of about 1,475 (226)
Kinematic Hopf Algebra for Bern-Carrasco-Johansson Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory. [PDF]
Physical Review Letters, 2021 We present a closed formula for all Bern-Carrasco-Johansson (BCJ) numerators describing D-dimensional tree-level scattering amplitudes in a heavy-mass effective field theory with two massive particles and an arbitrary number of gluons.
A. Brandhuber +4 more
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A quasi-Hopf algebra for the triplet vertex operator algebra [PDF]
Communications in Contemporary Mathematics, 2017 We give a new factorizable ribbon quasi-Hopf algebra [Formula: see text], whose underlying algebra is that of the restricted quantum group for [Formula: see text] at a [Formula: see text]th root of unity. The representation category of [Formula: see text]
T. Creutzig, A. Gainutdinov, I. Runkel
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On Hopf algebras over the unique 12-dimensional Hopf algebra without the dual Chevalley property [PDF]
Communications in Algebra, 2017 Let be an algebraically closed field of characteristic zero. We determine all finite-dimensional Hopf algebras over whose Hopf coradical is isomorphic to the unique 12-dimensional Hopf algebra without the dual Chevalley property, such that the diagrams ...
Rongchuan Xiong
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Hopf algebra gauge theory on a ribbon graph [PDF]
Reviews in Mathematical Physics, 2015 We generalize gauge theory on a graph so that the gauge group becomes a finite-dimensional ribbon Hopf algebra, the graph becomes a ribbon graph, and gauge-theoretic concepts such as connections, gauge transformations and observables are replaced by ...
C. Meusburger, D. Wise
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Faà di Bruno Hopf algebra of the output feedback group for multivariable Fliess operators [PDF]
Systems & control letters (Print), 2014 Given two nonlinear input–output systems written in terms of Chen–Fliess functional expansions, i.e., Fliess operators, it is known that the feedback interconnected system is always well defined and in the same class.
W. S. Gray +2 more
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Algebraic and combinatorial structures on Baxter permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We give a new construction of a Hopf subalgebra of the Hopf algebra of Free quasi-symmetric functions whose bases are indexed by objects belonging to the Baxter combinatorial family (\emphi.e.
Samuele Giraudo
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The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary [PDF]
, 2015 For any Koszul Artin-Schelter regular algebra A, we consider a version of the universal Hopf algebra aut(A) coacting on A, introduced by Manin. To study the representations (i.e.
Theo Raedschelders, M. Bergh
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Amplitudes, Hopf algebras and the colour-kinematics duality
Journal of High Energy Physics, 2022 It was recently proposed that the kinematic algebra featuring in the colour-kinematics duality for scattering amplitudes in heavy-mass effective field theory (HEFT) and Yang-Mills theory is a quasi-shuffle Hopf algebra.
Andreas Brandhuber +5 more
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Interacting Hopf algebras [PDF]
Journal of Pure and Applied Algebra, 2017 We introduce the theory IH of interacting Hopf algebras, parametrised over a principal ideal domain R. The axioms of IH are derived using Lack's approach to composing PROPs: they feature two Hopf algebra and two Frobenius algebra structures on four different monoid-comonoid pairs.
Bonchi F., Sobocinski P., Zanasi F.
openaire +6 more sources
A Hopf algebra of subword complexes [PDF]
, 2015 We introduce a Hopf algebra structure of subword complexes, including both finite and infinite types. We present an explicit cancellation free formula for the antipode using acyclic orientations of certain graphs, and show that this Hopf algebra induces ...
N. Bergeron, Cesar Ceballos
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