Results 41 to 50 of about 29,381 (154)

A method of construction of finite-dimensional triangular semisimple Hopf algebras

, 1998
The goal of this paper is to give a new method of constructing finite-dimensional semisimple triangular Hopf algebras, including minimal ones which are non-trivial (i.e. not group algebras). The paper shows that such Hopf algebras are quite abundant.
Etingof, Pavel, Gelaki, Shlomo
core   +2 more sources

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
wiley   +1 more source

Non-Associative Structures and Other Related Structures

Axioms, 2020
In January 2019, MDPI published a book titled Hopf Algebras, Quantum Groups and Yang–Baxter Equations, based on a successful special issue [...]
Florin F. Nichita
doaj   +1 more source

Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters

Proceedings in Applied Mathematics and Mechanics, 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
wiley   +1 more source

Local Quasitriangular Hopf Algebras

Symmetry, Integrability and Geometry: Methods and Applications, 2008
We find a new class of Hopf algebras, local quasitriangular Hopf algebras, which generalize quasitriangular Hopf algebras. Using these Hopf algebras, we obtain solutions of the Yang-Baxter equation in a systematic way. The category of modules with finite
Shouchuan Zhang, Mark D. Gould, Yao-Zhong Zhang   +2 more
doaj  

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, Conor Kresin, Boris Baeumer, Ting Wang   +3 more
wiley   +1 more source

Star-products for Lie-algebraic noncommutative Minkowski space-times

Journal of High Energy Physics
Poisson structures of the Poincaré group can be linked to deformations of the Minkowski space-time, classified some time ago by Zakrewski. Based on this classification, various quantum Minkowski space-times with coordinates Lie algebras and specific ...
Valentine Maris, Filip Požar, Jean-Christophe Wallet   +2 more
doaj   +1 more source

A note on the Zariski lemma for Hopf algebras

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2004
The formulation of the lemma of Zariski is given for coactions of a class of Hopf algebras of the additive group on algebras. Known formulations and consequences of the lemma of Zariski for derivations and differentiations are revised.
Utano, R, Restuccia, G
doaj   +1 more source

Supercharacters, symmetric functions in noncommuting variables (extended abstract) [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite field, and the ring of symmetric functions in noncommuting variables.
Marcelo Aguiar, Carlos André, Carolina Benedetti, Nantel Bergeron, Zhi Chen, Persi Diaconis, Anders Hendrickson, Samuel Hsiao, I. Martin Isaacs, Andrea Jedwab, Kenneth Johnson, Gizem Karaali, Aaron Lauve, Tung Le, Stephen Lewis, Huilan Li, Kay Magaard, Eric Marberg, Jean-Christophe Novelli, Amy Pang, Franco Saliola, Lenny Tevlin, Jean-Yves Thibon, Nathaniel Thiem, Vidya Venkateswaran, C. Ryan Vinroot, Ning Yan, Mike Zabrocki   +27 more
doaj   +1 more source

Solutions of the Yang–Baxter Equation Arising from Brauer Configuration Algebras

Computation, 2022
Currently, researching the Yang–Baxter equation (YBE) is a subject of great interest among scientists of diverse areas in mathematics and other sciences. One of the fundamental open problems is to find all of its solutions.
Agustín Moreno Cañadas, Adolfo Ballester-Bolinches, Isaías David Marín Gaviria   +2 more
doaj   +1 more source