Results 61 to 70 of about 47,372 (244)

Iterant Algebra

Entropy, 2017
We give an exposition of iterant algebra, a generalization of matrix algebra that is motivated by the structure of measurement for discrete processes. We show how Clifford algebras and matrix algebras arise naturally from iterants, and we then use this ...
Louis H. Kauffman
doaj   +1 more source

A Combinatorial Derivation of the Racah-Speiser Algorithm for Gromov-Witten invariants [PDF]

, 2009
Using a finite-dimensional Clifford algebra a new combinatorial product formula for the small quantum cohomology ring of the complex Grassmannian is presented.
Korff, Christian
core  

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

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

Hecke-Clifford Algebras and Spin Hecke Algebras IV: Odd Double Affine Type

Symmetry, Integrability and Geometry: Methods and Applications, 2009
We introduce an odd double affine Hecke algebra (DaHa) generated by a classical Weyl group $W$ and two skew-polynomial subalgebras of anticommuting generators.
Ta Khongsap, Weiqiang Wang
doaj   +1 more source

Structure theory of Clifford-Weyl algebras and representations of ortho-symplectic Lie superalgebras [PDF]

AUT Journal of Mathematics and Computing
In this article, the structure of the Clifford-Weyl superalgebras and their associated Lie superalgebras will be investigated. These superalgebras have a natural supersymmetric inner product which is invariant under their Lie superalgebra structures. The
Nasser Boroojerdian
doaj   +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

Explicit isomorphisms of real Clifford algebras

International Journal of Mathematics and Mathematical Sciences, 2006
It is well known that the Clifford algebra Clp,q associated to a nondegenerate quadratic form on ℝn (n=p+q) is isomorphic to a matrix algebra K(m) or direct sum K(m)⊕K(m) of matrix algebras, where K=ℝ,ℂ,ℍ.
N. Değırmencı, Ş. Karapazar
doaj   +1 more source

Time as a geometric property of space

Frontiers in Physics, 2016
The proper description of time remains a key unsolved problem in science. Newton conceived of time as absolute and universal which it `flows equably without relation to anything external'}.
James Michael Chappell, John Gideon Hartnett, Nicolangelo Iannella, Azhar Iqbal, Derek Abbott   +4 more
doaj   +1 more source