Results 21 to 30 of about 2,329 (81)

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

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

V.M. Miklyukov: from dimension 8 to nonassociative algebras

, 2019
In this short survey we give a background and explain some recent developments in algebraic minimal cones and nonassociative algebras. A good deal of this paper is recollections of my collaboration with my teacher, PhD supervisor and a colleague ...
Tkachev, Vladimir G.
core   +1 more source

$L_\infty$-algebras and membrane sigma models

, 2020
Membrane sigma-models have been used for the systematic description of closed strings in non-geometric flux backgrounds. In particular, the conditions for gauge invariance of the corresponding action functionals were related to the Bianchi identities for
Grewcoe, Clay James, Jonke, Larisa
core   +1 more source

Splitting of operations for alternative and Malcev structures [PDF]

, 2015
In this paper we define pre-Malcev algebras and alternative quadri-algebras and prove that they generalize pre-Lie algebras and quadri-algebras respectively to the alternative setting.
Madariaga, Sara
core   +1 more source

Tensor models and 3-ary algebras

, 2011
Tensor models are the generalization of matrix models, and are studied as models of quantum gravity in general dimensions. In this paper, I discuss the algebraic structure in the fuzzy space interpretation of the tensor models which have a tensor with ...
Naoki Sasakura, Schafer R. D.
core   +1 more source

Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi, Javad Shokri, Saeid Ostadbashi, Abdul Rauf Khan   +3 more
wiley   +1 more source

Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory ...
Mohammad Mazyad Hazzazi, Muhammad Nadeem, Muhammad Kamran, Muhammad Sagir, Abdu Qaid Alameri, Pramita Mishra   +5 more
wiley   +1 more source

Reductive homogeneous spaces and nonassociative algebras [PDF]

, 2019
The purpose of these survey notes is to give a presentation of a classical theorem of Nomizu that relates the invariant affine connections on reductive homogeneous spaces and nonassociative algebras.Comment: 28 pages.
Elduque, Alberto
core   +5 more sources

Extensions of Steiner Triple Systems

Journal of Combinatorial Designs, Volume 33, Issue 3, Page 94-108, March 2025.
ABSTRACT In this article, we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corresponds to the center of the Steiner loop. We investigate extensions of Steiner loops, focusing in particular on the case of Schreier extensions, which provide a ...
Giovanni Falcone, Agota Figula, Mario Galici   +2 more
wiley   +1 more source