Results 1 to 10 of about 2,332 (80)

Higher form gauge fields and their nonassociative symmetry algebras [PDF]

Journal of High Energy Physics, 2014
We show that geometric theories with $p$-form gauge fields have a nonassociative symmetry structure, extending an underlying Lie algebra. This nonassociativity is controlled by the same Chevalley-Eilenberg cohomology that classifies free differential ...
Castellani, Leonardo
core   +3 more sources

Maximal Injective Real W∗-Subalgebras of Tensor Products of Real W∗-Algebras

Abstract and Applied Analysis, 2022
It is known that injective (complex or real) W∗-algebras with particular factors have been studied well enough. In the arbitrary cases, i.e., in noninjective case, to investigate (up to isomorphism) W∗-algebras is hard enough, in particular, there exist ...
A. A. Rakhimov, Muzaffar Nurillaev, Zabidin Salleh   +2 more
doaj   +1 more source

Non-Geometric Fluxes, Quasi-Hopf Twist Deformations and Nonassociative Quantum Mechanics [PDF]

, 2014
We analyse the symmetries underlying nonassociative deformations of geometry in non-geometric R-flux compactifications which arise via T-duality from closed strings with constant geometric fluxes. Starting from the non-abelian Lie algebra of translations
Alekseevsky D., Beggs E., Dionysios Mylonas, Drinfeld V. G., Peter Schupp, Richard J. Szabo   +5 more
core   +3 more sources

Hom-Akivis algebras [PDF]

, 2010
Hom-Akivis algebras are introduced. The commutator-Hom-associator algebra of a non-Hom-associative algebra (i.e. a Hom-nonassociative algebra) is a Hom-Akivis algebra.
Issa, A. Nourou
core   +2 more sources

Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds [PDF]

, 2012
We develop quantization techniques for describing the nonassociative geometry probed by closed strings in flat non-geometric R-flux backgrounds M.
A Chatzistavrakidis, A Dabholkar, A Henriques, AI Nesterov, AS Cattaneo, AS Cattaneo, AS Cattaneo, B Jurčo, B Jurčo, B Jurčo, B Jurčo, B Jurčo, C Condeescu, C Hofman, C Hull, C Hull, C Hull, C Klimčík, D Andriot, D Andriot, D Lüst, D Roytenberg, D Roytenberg, D Roytenberg, Dionysios Mylonas, E Getzler, G Landi, I Ellwood, J Brodzki, J DeBellis, J DeBellis, J Shelton, JC Baez, JC Baez, L Cornalba, L Takhtajan, LJ Santharoubane, M Graña, M Herbst, M Herbst, M Kontsevich, MA Rieffel, MR Douglas, N Halmagyi, N Ikeda, N Ikeda, N Seiberg, O Hohm, P Aschieri, P Bouwknegt, P Bouwknegt, P Bouwknegt, P Grange, P Schaller, P Severa, P-M Ho, P-M Ho, Peter Schupp, R Blumenhagen, R Blumenhagen, R Jackiw, Richard J. Szabo, RJ Szabo, RJ Szabo, T Voronov, V Kathotia, V Mathai, Z-J Liu   +67 more
core   +1 more source

Enveloping algebras of Malcev algebras [PDF]

, 2010
We first discuss the construction by Perez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit structure constants for the universal enveloping algebras (both ...
Bremner, Murray R., Hentzel, Irvin R., Peresi, Luiz A., Tvalavadze, Marina V., Usefi, Hamid   +4 more
core   +3 more sources

Analytic Loops and Gauge Fields [PDF]

, 2001
In this paper the linear representations of analytic Moufang loops are investigated. We prove that every representation of semisimple analytic Moufang loop is completely reducible and find all nonassociative irreducible representations. We show that such
A Sagle, Acharya, Baulieu, Belavin, Bilge, Bruck, Corrigan, Cremmer, Crossman, Curtright, D'Auria, Donaldson, Dundarer, E.K. Loginov, Eilenberg, Elduque, Elduque, Englert, Fairlie, Faulkner, Figueroa-O'Farrill, Filippov, Floratos, Floratos, Floratos, Fubini, Gunaydin, Gursey, Harvey, Hull, Ivanova, Jacobson, Kerdman, Kuzmin, Kuzmin, Loginov, Lohmus, Malcev, McCrimmon, Sagle, Schafer, Schafer, Witten, Witten, Zhevlakov   +44 more
core   +3 more sources

Octonionic Quantum Mechanics and Complex Geometry [PDF]

, 1996
The use of complex geometry allows us to obtain a consistent formulation of octonionic quantum mechanics (OQM). In our octonionic formulation we solve the hermiticity problem and define an appropriate momentum operator within OQM. The nonextendability of
Abdel-Khalek, Khaled, De Leo, Stefano
core   +2 more sources

Skolem-Noether for nilpotent products

, 2015
We consider the structure of groups and algebras that can be represented as automorphisms or derivations of distributive products -- which includes nonassociative rings, modules, forms, and commutation of groups and nonassociative loops.
Wilson, James B.
core   +1 more source

Magnetic monopoles and nonassociative deformations of quantum theory [PDF]

, 2017
We examine certain nonassociative deformations of quantum mechanics and gravity in three dimensions related to the dynamics of electrons in uniform distributions of magnetic charge.
Szabo, Richard J.
core   +2 more sources