Results 81 to 90 of about 600 (187)

Limits of cubic differentials and buildings

Proceedings of the London Mathematical Society, Volume 132, Issue 4, April 2026.
Abstract In the Labourie–Loftin parameterization of the Hitchin component of surface group representations into SL(3,R)$\mathrm{SL}(3,\mathbb {R})$, we prove an asymptotic formula for holonomy along rays in terms of local invariants of the holomorphic differential defining that ray.
John Loftin, Andrea Tamburelli, Michael Wolf   +2 more
wiley   +1 more source

Hopf modules in the braided monoidal category $_LM$

Le Matematiche, 2011
Suppose that L is a quasitriangular weak Hopf algebra with a bijective antipode and H is a weak Hopf algebra in the braided nonoidal category LM. We prove that the fundamental theorem for right H-Hopf modules in LM.
Yin Yanmin, Zhang Mingchuan
doaj  

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

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  

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

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  

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

Einstein-Riemann Gravity on Deformed Spaces

Symmetry, Integrability and Geometry: Methods and Applications, 2006
A differential calculus, differential geometry and the E-R Gravity theory are studied on noncommutative spaces. Noncommutativity is formulated in the star product formalism. The basis for the gravity theory is the infinitesimal algebra of diffeomorphisms.
Julius Wess
doaj  

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