Results 11 to 20 of about 2,329 (81)

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

Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors

Proceedings of the London Mathematical Society, Volume 127, Issue 3, Page 513-588, September 2023., 2023
Abstract We show that the mesh mutations are the minimal relations among the g${\bm{g}}$‐vectors with respect to any initial seed in any finite‐type cluster algebra. We then use this algebraic result to derive geometric properties of the g${\bm{g}}$‐vector fan: we show that the space of all its polytopal realizations is a simplicial cone, and we then ...
Arnau Padrol, Yann Palu, Vincent Pilaud, Pierre‐Guy Plamondon   +3 more
wiley   +1 more source

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

, 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   +1 more source

Extended B‐spline‐based implicit material point method enhanced by F‐bar projection method to suppress pressure oscillation

International Journal for Numerical Methods in Engineering, Volume 124, Issue 11, Page 2423-2448, 15 June 2023., 2023
Summary An enhancement of the extended B‐spline‐based implicit material point method (EBS‐MPM) is developed to avoid pressure oscillation and volumetric locking. The EBS‐MPM is a stable implicit MPM that enables the imposition of arbitrary boundary conditions thanks to the higher‐order EBS basis functions and the help of Nitsche's method. In particular,
Riichi Sugai, Jike Han, Yuya Yamaguchi, Shuji Moriguchi, Kenjiro Terada   +4 more
wiley   +1 more source

A hybrid strategy blending primal‐dual interior point and return mapping methods for a class of hypoelastic‐plastic models with memory surface

International Journal for Numerical Methods in Engineering, Volume 124, Issue 9, Page 1991-2013, 15 May 2023., 2023
Abstract By blending the primal‐dual interior point method (PDIPM) and the return mapping algorithm, we propose a hybrid strategy of implicit stress update for a class of hypoelastic‐plastic models with the hardening rule whose evolution is restricted by the memory surface.
Yuichi Shintaku, Fumitoshi Nakamura, Kenjiro Terada   +2 more
wiley   +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

Applications of AG‐Groupoids in Decision‐Making via Linear Diophantine Fuzzy Sets

Discrete Dynamics in Nature and Society, Volume 2023, Issue 1, 2023., 2023
In this paper, we investigated the notion of a linear Diophantine fuzzy set (LDFS) by using the concept of a score function to build the LDF‐score left (right) ideals and LDF‐score (0,2)‐ideals in an AG‐groupoid. We used these newly developed LDF‐score ideals to characterize an AG‐groupoid.
Faisal Yousafzai, Muhammad Danish Zia, Mohammed M. Khalaf, Esmail Hassan Abdullatif Al-Sabri, Rashad Ismail, Ewa Pawluszewicz   +5 more
wiley   +1 more source

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

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

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