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Weak Hopf Algebra Structures on Hybrid Numbers
SymmetryLet K be the algebra of hybrid numbers. In this paper, a weak Hopf algebra structure is endowed on K. Additionally, the integrals in this weak Hopf algebra K are discussed.
Jiangang Tang, Quanguo Chen
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Weak Hopf algebras with projection and weak smash bialgebra structures
Journal of Algebra, 2003 The aim of this paper is to investigate weak Hopf algebras with projection. As a generalization of the corresponding theory of Hopf algebras, for a weak Hopf algebra \(H\), the authors introduce the category of weak Yetter-Drinfeld modules, denoted by \(^H_H\mathcal{WYD}\). For morphisms of weak Hopf algebras \(f\colon H\to B\), \(g\colon B\to H\) such
Alonso Álvarez, J.N. +4 more
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Simulating the Hadamard gate in the Fibonacci disk code for universal topological quantum computation. [PDF]
Innovation (Camb), 2023 Wu YS.
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Modified weak multiplier Hopf algebras
, 2014 Let $(A, )$ be a regular weak multiplier Hopf algebra. Denote by $E$ the canonical idempotent of $(A, )$ and by $B$ the image of the source map. Recall that $B$ is a non-degenerate algebra, sitting nicely in the multiplier algebra $M(A)$ of $A$ so that also $M(B)$ can be viewed as a subalgebra of $M(A)$.
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Co-actions, Isometries, and isomorphism classes of Hilbert modules. [PDF]
Adv Oper Theory, 2021 Kučerovský DZ.
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Bifurcations to transient and oscillatory excitations in inhomogeneous excitable media: Insights into arrhythmogenesis in long QT syndrome. [PDF]
Phys Rev E, 2023 Lin J, Qu Z, Huang X.
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The inhibitory control of traveling waves in cortical networks. [PDF]
PLoS Comput Biol, 2023 Palkar G, Wu JY, Ermentrout B.
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Complex spatiotemporal oscillations emerge from transverse instabilities in large-scale brain networks. [PDF]
PLoS Comput Biol, 2023 Clusella P +4 more
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Active Ising Models of flocking: a field-theoretic approach. [PDF]
Eur Phys J E Soft Matter, 2023 Scandolo M, Pausch J, Cates ME.
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