Results 71 to 80 of about 297 (183)
Translation Hopf Algebras and Hopf Heaps
Algebras and Representation TheoryAbstractTo every Hopf heap or quantum cotorsor of Grunspan a Hopf algebra of translations is associated. This translation Hopf algebra acts on the Hopf heap making it a Hopf-Galois co-object. Conversely, any Hopf-Galois co-object has the natural structure of a Hopf heap with the translation Hopf algebra isomorphic to the acting Hopf algebra. It is then
Brzeziński, Tomasz +1 more
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On the Structure of Hopf Algebras
The Annals of Mathematics, 1965 induced by the product M x M e M. The structure theorem of Hopf concerning such algebras has been generalized by Borel, Leray, and others. This paper gives a comprehensive treatment of Hopf algebras and some surrounding topics. New proofs of the classical theorems are given, as well as some new results. The paper is divided into eight sections with the
Milnor, John W. (John Willard), 1931- +1 more
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Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation
Natural Resource Modeling, Volume 39, Issue 2, May 2026.ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu +2 more
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Advances in Mathematics, 2017 60 pages, 43 figures. Version 2: New Part 3 on Schr\"oder Cambrian Algebra.
Chatel, Grégory, Pilaud, Vincent
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Hopf modules in the braided monoidal category $_LM$
Le Matematiche, 2011 Suppose that L is a quasitriangular weak Hopf algebra with a bijective antipode and H is a weak Hopf algebra in the braided nonoidal category LM. We prove that the fundamental theorem for right H-Hopf modules in LM.
Yin Yanmin, Zhang Mingchuan
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Kuramoto Model on Sierpinski Gasket I: Harmonic Maps
Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.ABSTRACT Motivated by the study of attractors in the Kuramoto model (KM) on graphs, approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the circle, first considered by Strichartz. We provide a geometric proof of Strichartz's theorem, which states that for a prescribed degree and suitable boundary ...
Georgi S. Medvedev, Matthew S. Mizuhara
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Multiplier Hopf Algebras [PDF]
Transactions of the American Mathematical Society, 1994 In this paper we generalize the notion of Hopf algebra. We consider an algebra A , with or without identity, and a homomorphism Δ
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Hopf Algebra of Building Sets [PDF]
The Electronic Journal of Combinatorics, 2012 The combinatorial Hopf algebra on building sets $BSet$ extends the chromatic Hopf algebra of simple graphs. The image of a building set under canonical morphism to quasi-symmetric functions is the chromatic symmetric function of the corresponding hypergraph.
Vladimir Grujic, Tanja Stojadinovic
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Uma base para a álgebra quântica de tipo E6
REMATAs álgebras quânticas, ou grupos quânticos, são álgebras de Hopf não comutativas e não cocomutativas. Neste trabalho consideramos a envolvente quântica de dimensão infinita obtida a partir da álgebra de Lie simples de tipo E_6.
Bárbara Pogorelsky, Vitória Gomes
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On finite dimensional Nichols algebras of diagonal type
Bulletin of Mathematical Sciences, 2017 This is a survey on Nichols algebras of diagonal type with finite dimension, or more generally with arithmetic root system. The knowledge of these algebras is the cornerstone of the classification program of pointed Hopf algebras with finite dimension ...
Nicolás Andruskiewitsch, Iván Angiono
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