Results 91 to 100 of about 41,770 (202)

Deformation of the Hopf algebra of plane posets [PDF]

, 2012
We describe and study a four parameters deformation of the two products and the coproduct of the Hopf algebra of plane posets. We obtain a family of braided Hopf algebras, generally self-dual.
Foissy, Loïc
core  

Continuation‐Enhanced Harmonic Balance Method for Nonlinear Dynamics in Rotating Machinery

Shock and Vibration, Volume 2026, Issue 1, 2026.
Nonlinear response conception in rotating machinery, particularly in systems with squeeze film dampers (SFDs), pose significant challenges for established time‐domain numerical methods due to bifurcations and critical points along the response trajectories.
Muhammad Umar, Charles Nutakor, Jussi Sopanen, Yan Niu   +3 more
wiley   +1 more source

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
doaj   +1 more source

The asymptotic Hopf algebra of Feynman integrals

Journal of High Energy Physics
The 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
doaj   +1 more source

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, Hami Abbasi Makrani, Rasoul Mahjoubi   +2 more
doaj  

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
doaj  

The Noether problem for Hopf algebras

, 2014
In previous work, Eli Aljadeff and the first-named author attached an algebra B_H of rational fractions to each Hopf algebra H. The generalized Noether problem is the following: for which finite-dimensional Hopf algebra H is B_H the localization of a ...
Kassel, Christian, Masuoka, Akira
core  

Weak Hopf non-invertible symmetry-protected topological spin liquid and lattice realization of (1+1)D symmetry topological field theory

Journal of High Energy Physics
We 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
doaj   +1 more source

Hopf algebra extensions of monogenic Hopf algebras

Journal of Pure and Applied Algebra, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Quantum Groupoids Acting on Semiprime Algebras

Advances in Mathematical Physics, 2011
Following Linchenko and Montgomery's arguments we show that the smash product of an involutive weak Hopf algebra and a semiprime module algebra, satisfying a polynomial identity, is semiprime.
Inês Borges, Christian Lomp
doaj   +1 more source