Results 61 to 70 of about 262,520 (170)

GERSTENHABER BRACKET ON HOPF ALGEBRA COHOMOLOGY [PDF]

open access: yes, 2022
M. A. Farinati, A. Solotar, and R. Taillefer showed that the Hopf algebra cohomology of a quasi-triangular Hopf algebra, as a graded Lie algebra under the Gerstenhaber bracket, is abelian.
Karadag, Tekin
core   +1 more source

Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation

open access: yesJournal of High Energy Physics
Cluster states are crucial resources for measurement-based quantum computation (MBQC). It exhibits symmetry-protected topological (SPT) order, thus also playing a crucial role in studying topological phases.
Zhian Jia
doaj   +1 more source

A Data‐Driven Control Framework for HIV Infection Using Projection Recurrent Neural Networks and Singular Value Analysis

open access: yesEngineering Reports, Volume 8, Issue 6, June 2026.
The study introduces a model‐free data‐driven control strategy combining sliding mode control with a projection recurrent neural network to regulate HIV dynamics. The method eliminates dependence on mathematical models, ensures constrained optimal drug dosing, and robustly drives HIV states to a healthy equilibrium despite uncertainty. ABSTRACT In this
Ashkan Zarghami   +2 more
wiley   +1 more source

Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model

open access: yesJournal of High Energy Physics
We investigate the multifusion generalization of string-net ground states and lattice Hamiltonians, delving into their associated weak Hopf symmetries. For the multifusion string-net, the gauge symmetry manifests as a general weak Hopf algebra, leading ...
Zhian Jia   +2 more
doaj   +1 more source

Adjunctions Between Hom and Tensor as Endofunctors of (bi-)Module Category of Comodule Algebras Over a Quasi-Hopf Algebra

open access: yesپژوهش‌های ریاضی, 2020
Introduction Over a commutative ring k, it is well known from the classical module theory that the tensor-endofunctor of is left adjoint to the Hom-endofunctor. The unit and counit of this adjunction is obtained trivially.
Saeid Bagheri
doaj  

On the tightness of left‐invariant contact structures

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We prove that all left‐invariant contact structures on three‐dimensional Lie groups are tight. The argument is based on Riemannian methods and establishes a unique factorization property for any Lie group admitting a left‐invariant contact structure, other than SU(2)$\mathrm{SU}(2)$. We then make use of such factorization property to construct
Eugenio Bellini
wiley   +1 more source

Multiplicity of nonnegative solutions for semilinear Robin problems involving sign‐changing nonlinearities

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract In this article, we investigate the existence and multiplicity of solutions to the Robin problem −Δu=λf(u)inΩ,∂u∂ν+γu=0on∂Ω,$$\begin{equation*} {\begin{cases} -\Delta u = \lambda f(u) & \text{in } \Omega,\\ \frac{\partial u}{\partial \nu } + \gamma u=0 & \text{on } \partial \Omega, \end{cases}} \end{equation*}$$where Ω⊂RN$\Omega \subset ...
José Carmona Tapia   +2 more
wiley   +1 more source

Regularidade de operadores de Wiener-Hopf mais Hankel [PDF]

open access: yes, 2011
Doutoramento em MatemáticaIn this thesis we consider Wiener-Hopf-Hankel operators with Fourier symbols in the class of almost periodic, semi-almost periodic and piecewise almost periodic functions.
Silva, Anabela de Sousa e
core  

The commutator Hopf Galois extensions [PDF]

open access: yes, 2003
Let H be a finite dimentional Hopf algebra over a field k and H∗ the dual Hopf algebra of H. Then a commutator right H∗ -Galois extension B of BH is characterized in terms of the smash product B#H and some relationships between such a B and the ...
Xue, L., Szeto, G.
core   +2 more sources

Isotopy and equivalence of knots in 3‐manifolds

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract Two knots K$K$ and J$J$ in S3$S^3$ are isotopic if and only if they are related by an orientation‐preserving diffeomorphism of S3$S^3$. This claim follows from the fact that any orientation‐preserving self‐diffeomorphism of S3$S^3$ is isotopic to the identity. We show that this same idea applies to any prime oriented closed 3‐manifold.
Paolo Aceto   +4 more
wiley   +1 more source

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