Results 1 to 10 of about 262,520 (170)
Discrete Mathematics & Theoretical Computer Science, 2014 A general lattice theoretic construction of Reading constructs Hopf subalgebras of the Malvenuto-Reutenauer Hopf algebra (MR) of permutations. The products and coproducts of these Hopf subalgebras are defined extrinsically in terms of the embedding in MR.
Shirley Law
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Hopf Differential Graded Galois Extensions
Mathematics, 2022 We introduce the concept of Hopf dg Galois extensions. For a finite dimensional semisimple Hopf algebra H and an H-module dg algebra R, we show that D(R#H)≅D(RH) is equivalent to that R/RH is a Hopf differential graded Galois extension.
Bo-Ye Zhang
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A Hopf algebra of subword complexes (Extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 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 ...
Nantel Bergeron, Cesar Ceballos
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Quantum-Like Dynamics in Whole-Brain Models of the Human Connectome. [PDF]
Adv Sci (Weinh)Quantum‐like dynamics in the human brain. The level of quantum‐like behavior in a non‐quantum system of coupled oscillators is regulated by the spectral gap of the coupling graph. Whole‐brain modelling using QL fits the empirical data significantly better and has a lower model‐derived energy cost than the non‐QL model.
Deco G +5 more
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Inductive constructions for Lie bialgebras and Hopf algebras [PDF]
, 2006 In recent years, two generalisations of the theory of Lie algebras have become prominent, namely the "semi-classical" theory of Lie bialgebras and the "quantum" theory of Hopf algebras, including the quantized enveloping algebras.
Majid, Shahn +3 more
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Nonassociative constructions from inverse property quasigroups [PDF]
, 2011 PhDThe notion of a Hopf algebra has been generalized many times by weakening certain properties; we introduce Hopf quasigroups which weaken the associativity of the algebra.
Klim, Jennifer
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The Incidence Hopf Algebra of Graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 The graph algebra is a commutative, cocommutative, graded, connected incidence Hopf algebra, whose basis elements correspond to finite simple graphs and whose Hopf product and coproduct admit simple combinatorial descriptions.
Brandon Humpert, Jeremy L. Martin
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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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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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Yetter–Drinfeld categories associated with a weak braided Hopf algebra [PDF]
, 2022 In a previous paper, the authors introduced the monoidal category of left–left Yetter–Drinfeld modules over a weak braided Hopf algebra in a strict monoidal category.
González Rodríguez, Ramón +3 more
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