Results 51 to 60 of about 29,381 (154)

Noncommutative Bell polynomials, quasideterminants and incidence Hopf algebras

, 2014
Bell polynomials appear in several combinatorial constructions throughout mathematics. Perhaps most naturally in the combinatorics of set partitions, but also when studying compositions of diffeomorphisms on vector spaces and manifolds, and in the study ...
Ebrahimi-Fard, Kurusch, Lundervold, Alexander, Manchon, Dominique   +2 more
core   +3 more sources

Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito, Andrea Rivezzi, Jonas Schnitzer, Thomas Weber   +3 more
wiley   +1 more source

Bialgebra cohomology and exact sequences

Comptes Rendus. Mathématique
We show how the bialgebra cohomologies of two Hopf algebras involved in an exact sequence are related, when the third factor is finite-dimensional cosemisimple. As an application, we provide a short proof of the computation of the bialgebra cohomology of
Bichon, Julien
doaj   +1 more source

Deformations of spacetime and internal symmetries

EPJ Web of Conferences, 2017
Algebraic deformations provide a systematic approach to generalizing the symmetries of a physical theory through the introduction of new fundamental constants.
Gresnigt Niels G., Gillard Adam B.
doaj   +1 more source

Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics

Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.
Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams, Antonio A. Gentile, Vincent E. Elfving, Daniel Berger, Oleksandr Kyriienko   +4 more
wiley   +1 more source

Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras

Advances in Mathematical Physics, 2018
It is shown that quasi-Frobenius Hom-Lie algebras are connected with a class of solutions of the classical Hom-Yang-Baxter equations. Moreover, a similar relation is discussed on Frobenius (symmetric) monoidal Hom-algebras and solutions of quantum Hom ...
Yuanyuan Chen, Liangyun Zhang
doaj   +1 more source

The bicrossed products of $H_4$ and $H_8$

, 2019
Let $H_4$ and $H_8$ be the Sweedler's and Kac-Paljutkin Hopf algebras, respectively. In this paper we prove that any Hopf algebra which factorizes through $H_8$ and $H_4$ (equivalently, any bicrossed product between the Hopf algebras $H_8$ and $H_4 ...
Lu, Daowei, Ning, Yan, Wang, Dingguo
core   +1 more source

A Survey of SIR‐Based Differential Epidemic Models for Control and Security Against Malware Propagation in Computer Networks

SECURITY AND PRIVACY, Volume 9, Issue 1, January/February 2026.
ABSTRACT Unarguably, malware and their variants have metamorphosed into objects of attack and cyber warfare. These issues have directed research focus to modeling infrastructural settings and infection scenarios, analyzing propagation mechanisms, and conducting studies that highlight optimized remedial measures.
Chukwunonso Henry Nwokoye
wiley   +1 more source

Lifting Coalgebra Modalities and $\mathsf{MELL}$ Model Structure to Eilenberg-Moore Categories [PDF]

Logical Methods in Computer Science, 2019
A categorical model of the multiplicative and exponential fragments of intuitionistic linear logic ($\mathsf{MELL}$), known as a \emph{linear category}, is a symmetric monoidal closed category with a monoidal coalgebra modality (also known as a linear ...
Jean-Simon Pacaud Lemay
doaj   +1 more source

Hopf Categories

, 2016
We introduce Hopf categories enriched over braided monoidal categories. The notion is linked to several recently developed notions in Hopf algebra theory, such as Hopf group (co)algebras, weak Hopf algebras and duoidal categories.
A Bruguières, A Virelizier, C Kassel, C Nastasescu, C Nastasescu, E. Batista, G Böhm, G Böhm, G Böhm, H Bass, J Kellendonk, J. Vercruysse, M Aguiar, M Dokuchaev, M Dokuchaev, M Sweedler, M Takeuchi, M Zunino, MMS Alves, P Schauenburg, R Larson, R Street, S Caenepeel, S Caenepeel, S Caenepeel, S. Caenepeel, V Lyubashenko, VG Turaev   +27 more
core   +1 more source