Results 101 to 110 of about 1,475 (226)
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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Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 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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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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The asymptotic Hopf algebra of Feynman integrals
Journal of High Energy PhysicsThe method of regions is an approach for developing asymptotic expansions of Feynman Integrals. We focus on expansions in Euclidean signature, where the method of regions can also be formulated as an expansion by subgraph.
Mrigankamauli Chakraborty, Franz Herzog
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On the cyclic Homology of multiplier Hopf algebras [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper, we will study the theory of cyclic homology for regular multiplier Hopf algebras. We associate a cyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ consisting of a regular multiplier Hopf algebra $mathcal{H}$, a left $mathcal{H}
Ghorbanali Haghighatdoost +2 more
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On Hopf Galois Hirata extensions
International Journal of Mathematics and Mathematical Sciences, 2003 Let H be a finite-dimensional Hopf algebra over a field K, H* the dual Hopf algebra of H, and B a right H*-Galois and Hirata separable extension of BH. Then B is characterized in terms of the commutator subring VB(BH) of BH in B and the smash product VB ...
George Szeto, Lianyong Xue
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Method of general Сoule-Hopf substitutions in theory of finite-dimensional dynamical systems
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 We consider the results of applying the method of generic Cole-Hopf substitutions to integration of finite-dimensional dynamical systems. Dynamical systems are represented in the form of matrix ordinary differential equations with specific matrix algebra
Victor M Zhuravlev, Konstantin S Obrubov
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Journal of High Energy PhysicsWe propose weak Hopf symmetry as a general framework to explore (1+1)D topological phases that exhibit non-invertible symmetries. Inspired by the Symmetry Topological Field Theory (SymTFT) description of quantum phases with non-invertible symmetry, we ...
Zhian Jia
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Journal of Algebra, 1996 A transfer for the cohomology of finite groups has played an important role in cohomology calculations. Since the group algebra has the structure of a Hopf algebra, a natural question is whether there exists a transfer for other kinds of Hopf algebras.
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