Results 41 to 50 of about 12,517 (163)

Structure theorems for braided Hopf algebras

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley   +1 more source

Reconstruction of Weak Quasi Hopf Algebras

Journal of Algebra, 1997
19 pages ...
openaire   +2 more sources

Asymmetric graphs with quantum symmetry

Proceedings of the London Mathematical Society, Volume 131, Issue 5, November 2025.
Abstract We present an infinite sequence of finite graphs with trivial automorphism group and non‐trivial quantum automorphism group. These are the first known examples of graphs with this property. Moreover, to the best of our knowledge, these are the first examples of any asymmetric classical space that has non‐trivial quantum symmetries.
Josse van Dobben de Bruyn, David E. Roberson, Simon Schmidt   +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  

Weak Hopf tube algebra for domain walls between 2d gapped phases of Turaev-Viro TQFTs

Journal of High Energy Physics
We investigate domain walls between 2d gapped phases of Turaev-Viro type topological quantum field theories (TQFTs) by constructing domain wall tube algebras.
Zhian Jia, Sheng Tan
doaj   +1 more source

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

Edge‐Connectivity Between Edge‐Ends of Infinite Graphs

Journal of Graph Theory, Volume 109, Issue 4, Page 454-465, August 2025.
ABSTRACT In infinite graph theory, the notion of ends, first introduced by Freudenthal and Jung for locally finite graphs, plays an important role when generalizing statements from finite graphs to infinite ones. Nash‐Williams' Tree‐Packing Theorem and MacLane's Planarity Criteria are examples of results that allow a topological approach, in which ends
Leandro Aurichi, Lucas Real
wiley   +1 more source

Equivalences of (co)module algebra structures over Hopf algebras

, 2020
We introduce the notion of support equivalence for (co)module algebras (over Hopf algebras), which generalizes in a natural way (weak) equivalence of gradings. We show that for each equivalence class of (co)module algebra structures on a given algebra A,
Agore, Ana, Gordienko, Alexey, Vercruysse, Joost   +2 more
core  

Exhaustive Spatial Sampling for Complete Topology of the Electrostatic Potential

Journal of Computational Chemistry, Volume 46, Issue 20, July 30, 2025.
A robust algorithm identifies all critical points of the molecular electrostatic potential (MEP) in 3D space using Newton's method. Tricubic interpolation matches the exact MEP, with slight deviations near nuclei and low gradient regions. It applies to molecules, ions, and noncovalent complexes, revealing reactivity and interaction insights.
Evelio Francisco, Ángel Martín Pendás, Dimas Suárez   +2 more
wiley   +1 more source

Quasilinear Differential Constraints for Parabolic Systems of Jordan‐Block Type

Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.
ABSTRACT We prove that linear degeneracy is a necessary conditions for systems in Jordan‐block form to admit a compatible quasilinear differential constraint. Such condition is also sufficient for 2×2$2\times 2$ systems and turns out to be equivalent to the Hamiltonian property.
Alessandra Rizzo, Pierandrea Vergallo
wiley   +1 more source