Results 31 to 40 of about 3,743 (118)

Dirichlet Type Problem for 2D Quaternionic Time‐Harmonic Maxwell System in Fractal Domains

Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020
We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time‐harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2. The study deals with a novel approach of h‐summability condition for the curves, which would be extremely irregular and deserve to be considered fractals ...
Yudier Peña Pérez, Ricardo Abreu Blaya, Paul Bosch, Juan Bory Reyes, Ping Li   +4 more
wiley   +1 more source

Zero Jordan product determined Banach algebras [PDF]

, 2019
A Banach algebra $A$ is said to be a zero Jordan product determined Banach algebra if every continuous bilinear map $\varphi\colon A\times A\to X$, where $X$ is an arbitrary Banach space, which satisfies $\varphi(a,b)=0$ whenever $a$, $b\in A$ are such ...
Alaminos, J., Brešar, M., Extremera, J., Villena, A. R.   +3 more
core   +3 more sources

Infinite Nodal Noncommutative Jordan Algebras; Differentiably Simple Algebras [PDF]

Transactions of the American Mathematical Society, 1971
The first result is that any differentiably simple algebra of the form A = F 1 + R A = F1 + R , for R a proper ideal, 1 the identity element, and F the base field, must be a subalgebra of a (commutative associative) power series algebra over F, and is truncated if the characteristic is not zero.
openaire   +1 more source

Modified Novikov Operators and the Kastler‐Kalau‐Walze‐Type Theorem for Manifolds with Boundary

Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020
In this paper, we give two Lichnerowicz‐type formulas for modified Novikov operators. We prove Kastler‐Kalau‐Walze‐type theorems for modified Novikov operators on compact manifolds with (respectively without) a boundary. We also compute the spectral action for Witten deformation on 4‐dimensional compact manifolds.
Sining Wei, Yong Wang, John D. Clayton
wiley   +1 more source

Open problems, questions, and challenges in finite-dimensional integrable systems [PDF]

, 2018
The paper surveys open problems and questions related to different aspects of integrable systems with finitely many degrees of freedom. Many of the open problems were suggested by the participants of the conference “Finite-dimensional Integrable ...
Bolsinov, Alexey, Matveev, Vladimir, Miranda Galcerán, Eva, Tabachnikov, Sergei   +3 more
core   +5 more sources

Colour Algebras over Rings

Axioms
Colour algebras are noncommutative Jordan algebras and closely related to octonion algebras. They initially emerged in physics since the multiplication of a colour algebra over the real or complex numbers describes the colour symmetry of the Gell–Mann ...
Susanne Pumplün
doaj   +1 more source

Discrete Minimal Surface Algebras [PDF]

, 2010
We consider discrete minimal surface algebras (DMSA) as generalized noncommutative analogues of minimal surfaces in higher dimensional spheres. These algebras appear naturally in membrane theory, where sequences of their representations are used as a ...
Arnlind, Joakim, Hoppe, Jens
core   +2 more sources

The Dual Gromov-Hausdorff Propinquity [PDF]

, 2014
Motivated by the quest for an analogue of the Gromov-Hausdorff distance in noncommutative geometry which is well-behaved with respect to C*-algebraic structures, we propose a complete metric on the class of Leibniz quantum compact metric spaces, named ...
Alfsen, Bellissard, Blackadar, Burago, Connes, Connes, Connes, Dobrushin, Fell, Gromov, Gromov, Kadison, Kadison, Kantorovich, Kantorovich, Kerr, Kerr, Landsman, Latrémolière, Latrémolière, Latrémolière, Latrémolière, Li, Li, Li, Li, McShane, Morariu, Ozawa, Pedersen, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Rieffel, Seiberg, T'Hooft, Wasserstein, Wu, Wu   +45 more
core   +3 more sources

Reversible skew laurent polynomial rings and deformations of poisson automorphisms [PDF]

, 2009
A skew Laurent polynomial ring S = R[x(+/- 1); alpha] is reversible if it has a reversing automorphism, that is, an automorphism theta of period 2 that transposes x and x(-1) and restricts to an automorphism gamma of R with gamma = gamma(-1).
DAVID A. JORDAN, Devaney R., Krause G. R., Lorenz M., McConnell J. C., NONGKHRAN SASOM, O'Farrell A. G., Passman D. S.   +7 more
core   +2 more sources

Structure and Representations of Noncommutative Jordan Algebras [PDF]

Transactions of the American Mathematical Society, 1966
The author first proves an analogue of \textit{N. Jacobson}'s coordinatization theorem [Osaka Math. J. 6, 1--71 (1954; Zbl 0059.02902); Proc. Natl. Acad. Sci. USA 48, 1154--1160 (1962; Zbl 0115.02703)] for noncommutative Jordan algebras with \(n\ge 3\) connected orthogonal idempotents which characterizes such algebras as commutative Jordan algebras \(H(
openaire   +2 more sources