Results 51 to 60 of about 245 (169)

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

Group theoretic approach to fermion production

Journal of High Energy Physics, 2019
We propose a universal group theoretic description of the fermion production through any type of interaction to scalar or pseudo-scalar. Our group theoretic approach relies on the group SU(2) × U(1), corresponding to the freedom in choosing ...
Ui Min, Minho Son, Han Gyeol Suh
doaj   +1 more source

A reduction theorem for the Character Triple Conjecture

Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.
Abstract In this paper, we show that the Character Triple Conjecture holds for all finite groups once assumed for all quasi‐simple groups. This answers the question on the existence of a self‐reducing form of Dade's conjecture, a problem that was extensively investigated by Dade in the 1990s.
Damiano Rossi
wiley   +1 more source

Global and microlocal aspects of Dirac operators: Propagators and Hadamard states

Mathematische Nachrichten, Volume 298, Issue 9, Page 2942-2974, September 2025.
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley   +1 more source

Investigating the motivational and knowledge affordances of conversational AI using induction, concretization and exemplification in math learning

British Journal of Educational Technology, Volume 56, Issue 5, Page 1814-1841, September 2025.
Abstract A promising approach to support students' math learning effectively, automatically and at scale within existing learning environments is conversational artificial intelligence (ConvAI). Although previous studies have suggested ConvAI's potential to guide, facilitate and enhance learning, its effects on students' conceptual change and academic ...
Chenglu Li, Bailing Lyu
wiley   +1 more source

Geometric Tri-Product of the Spin Domain and Clifford Algebras [PDF]

Advances in Applied Clifford Algebras, 2008
28 pages, 4 ...
openaire   +2 more sources

Clifford Algebra’s Geometric Product Properties in Image-Processing and its Efficient Implementation

Iranian Journal of Electrical and Electronic Engineering, 2019
Clifford Algebra (CA) is an effective substitute for classic algebra as the modern generation of mathematics. However, massive computational loads of CA-based algorithms have hindered its practical usage in the past decades.
A. Sadr, N. Orouji
doaj  

Interactions between universal composition operators and complex dynamics

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract This paper is concerned with universality properties of composition operators Cf$C_f$, where the symbol f$f$ is given by a transcendental entire function restricted to parts of its Fatou set. We determine universality of Cf$C_f$ when f$f$ is restricted to (subsets of) Baker and wandering domains.
Vasiliki Evdoridou, Clifford Gilmore, Myrto Manolaki   +2 more
wiley   +1 more source

Deformations of Anosov subgroups: Limit cones and growth indicators

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley   +1 more source

Advanced Graph Neural Networks for Smart Mining: A Systematic Literature Review of Equivariant, Topological, Symplectic, and Generative Models

Mathematics
The transition of the mining industry towards Industry 5.0 demands predictive models capable of strictly adhering to physical laws and modeling complex, non-Euclidean geometries—capabilities often lacking in standard graph neural networks.
Luis Rojas, Lorena Jorquera, José Garcia   +2 more
doaj   +1 more source