Results 31 to 40 of about 47,372 (244)

Revisiting Clifford algebras and spinors III: conformal structures and twistors in the paravector model of spacetime

, 2004
This paper is the third of a series of three, and it is the continuation of math-ph/0412074 and math-ph/0412075. After reviewing the conformal spacetime structure, conformal maps are described in Minkowski spacetime as the twisted adjoint representation ...
Bars I., Benn I., Berkovits N., Berkovits N., Bette A., Bohm D., Chevalley C., Connes A., da Rocha R., Green M. B., Itzykson C., J. VAZ, Keller J., Keller J., Lounesto P., Lounesto P., Porteous I. R., R. DA ROCHA, Reese Harvey F.   +18 more
core   +2 more sources

Analyzing the Free States of one Quantum Resource Theory as Resource States of Another

Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.
The article investigates how free states in one quantum resource theory can become highly resourceful in another. It systematically studies multipartite entanglement, fermionic non‐Gaussianity, imaginarity, realness, spin coherence, Clifford non‐stabilizerness, Sn‐equivariance, and non‐uniform entanglement, combining rigorous analytical tools and ...
Andrew E. Deneris, Paolo Braccia, Pablo Bermejo, N. L. Diaz, Antonio A. Mele, M. Cerezo   +5 more
wiley   +1 more source

Theorem on the norm of elements of spinor groups

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
In this article we consider Clifford's algebra over the field of real numbers of finite dimension. We define the operation of Hermitian conjugation for the elements of Clifford's algebra.
Dmitry S Shirokov
doaj   +3 more sources

Linear BVPs and SIEs for Generalized Regular Functions in Clifford Analysis

Journal of Function Spaces, 2018
We study some properties of a regular function in Clifford analysis and generalize Liouville theorem and Plemelj formula with values in Clifford algebra An(R).
Pingrun Li, Lixia Cao
doaj   +1 more source

Idempotents of Clifford Algebras

, 2003
A classification of idempotents in Clifford algebras C(p,q) is presented. It is shown that using isomorphisms between Clifford algebras C(p,q) and appropriate matrix rings, it is possible to classify idempotents in any Clifford algebra into continuous ...
Ablamowicz, R., Fauser, B., Podlaski, K., Rembielinski, J.   +3 more
core   +1 more source

Derangements in intransitive groups

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let G$G$ be a nontrivial permutation group of degree n$n$. If G$G$ is transitive, then a theorem of Jordan states that G$G$ has a derangement. Equivalently, a finite group is never the union of conjugates of a proper subgroup. If G$G$ is intransitive, then G$G$ may fail to have a derangement, and this can happen even if G$G$ has only two ...
David Ellis, Scott Harper
wiley   +1 more source

(Discrete) Almansi Type Decompositions: An umbral calculus framework based on $\mathfrak{osp}(1|2)$ symmetries

, 2011
We introduce the umbral calculus formalism for hypercomplex variables starting from the fact that the algebra of multivariate polynomials $\BR[\underline{x}]$ shall be described in terms of the generators of the Weyl-Heisenberg algebra. The extension of $
Abul-ez, Almansi, Aronszajn, Blasiak, Bock, Brackx, Cnops, Cohen, Constales, Dattoli, De Bie, De Ridder, Delanghe, Di Bucchianico, Di Bucchianico, Dimakis, Faustino, Frappat, Gilbert, Gürlebeck, Howe, Howe, Levi, Lorente, Malonek, Malonek, Malonek, Ren, Render, Roman, Roman, Ryan, Shun-Jen, Smirnov, Smirnov, Sommen, Tempesta, Turbiner, Wigner, Zhang   +39 more
core   +1 more source

Alperin's bound and normal Sylow subgroups

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract Let G$G$ be a finite group, p$p$ a prime number and P$P$ a Sylow p$p$‐subgroup of G$G$. Recently, Malle, Navarro, and Tiep conjectured that the number of p$p$‐Brauer characters of G$G$ coincides with that of the normalizer NG(P)${\bf N}_G(P)$ if and only if P$P$ is normal in G$G$.
Zhicheng Feng, J. Miquel Martínez, Damiano Rossi   +2 more
wiley   +1 more source

Diffeological Clifford algebras and pseudo-bundles of Clifford modules

, 2016
We consider the diffeological version of the Clifford algebra of a (diffeological) finite-dimensional vector space; we start by commenting on the notion of a diffeological algebra (which is the expected analogue of the usual one) and that of a ...
Pervova, Ekaterina
core   +1 more source

Quantum GraviElectro Dynamics

Annalen der Physik, Volume 538, Issue 1, January 2026.
The BRST invariant Lagrangian of the gravitationally interacting U(1)$U(1)$ gauge theory, namely the Quantum GraviElectro Dynamics (QGED). The Yan–Mills theory with the Hilbert–Einstein gravitational Lagrangian, namely the Yang–Mills–Utiyama (YMU) theory, is defined and quantised using the standard procedure. The theory is perturbatively renormalisable,
Yoshimasa Kurihara
wiley   +1 more source