Results 51 to 60 of about 41,540 (204)
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 \Delta from A to the multiplier algebra M ( A ⊗ A ) M(A \otimes A) of A ⊗ A A \otimes A .
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Three infinite families of reflection Hopf algebras
, 2019 Let $H$ be a semisimple Hopf algebra acting on an Artin-Schelter regular algebra $A$, homogeneously, inner-faithfully, preserving the grading on $A$, and so that $A$ is an $H$-module algebra.
Ferraro, Luigi +3 more
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Dual Variational Problems and Action Principles for Chen–Lee and Hopf–Langford Systems
Mathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2456-2462, 15 March 2026.ABSTRACT We describe the construction of dual variational principles and action functionals for nonlinear dynamical systems using a methodology based on the dual Lagrange multiplier formalism and a convex optimization approach, to derive families of dual actions that correspond to the given nonlinear ordinary differential system.
A. Ghose‐Choudhury, Partha Guha
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Renormalization group-like proof of the universality of the Tutte polynomial for matroids [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In this paper we give a new proof of the universality of the Tutte polynomial for matroids. This proof uses appropriate characters of Hopf algebra of matroids, algebra introduced by Schmitt (1994). We show that these Hopf algebra characters are solutions
G. Duchamp +3 more
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Differential Geometry of the q-plane
, 2001 Hopf algebra structure on the differential algebra of the extended $q$-plane is defined. An algebra of forms which is obtained from the generators of the extended $q$-plane is introduced and its Hopf algebra structure is given.Comment: 9 ...
Reshetikhin N. Y. +2 more
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On Kreimer's Hopf algebra structure of Feynman graphs [PDF]
, 1998 We reinvestigate Kreimer's Hopf algebra structure of perturbative quantum field theories with a special emphasis on overlapping divergences. Kreimer first disentangles overlapping divergences into a linear combination of disjoint and nested ones and then
Krajewski, Thomas, Wulkenhaar, Raimar
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Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters
PAMM, Volume 26, Issue 1, March 2026.ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
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Integrable Renormalization I: the Ladder Case
, 2004 In recent years a Hopf algebraic structure underlying the process of renormalization in quantum field theory was found. It led to a Birkhoff factorization for (regularized) Hopf algebra characters, i.e. for Feynman rules.
Ebrahimi-Fard, Kurusch +2 more
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Demonstratio Mathematica, 2011 Abstract The dual category with respect to the category of differential groups is defined and investigated. The objects of this category are algebras, called Hopf–Sikorski (H-S) algebras, the axioms of which combine the axioms of Sikorski’s algebras with modified axiomas of Hopf algebras.
Heller, Michał +3 more
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Multivariate representations of univariate marked Hawkes processes
Scandinavian Journal of Statistics, Volume 53, Issue 1, Page 140-174, March 2026.Abstract Univariate marked Hawkes processes are used to model a range of real‐world phenomena including earthquake aftershock sequences, contagious disease spread, content diffusion on social media platforms, and order book dynamics. This paper illustrates a fundamental connection between univariate marked Hawkes processes and multivariate Hawkes ...
Louis Davis +3 more
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