Results 61 to 70 of about 946 (186)

On Primitive Jordan Algebras

Journal of Algebra, 1994
The authors have classified the primitive Jordan algebras over a field of characteristic \(\neq 2\). This classification is based on that of \textit{E. Zelmanov} [Sib. Math. J. 24, 73-85 (1983); translation from Sib. Mat. Zh. 24, No. 1(137), 89-104 (1983; Zbl 0534.17009)] concerning prime nondegenerate Jordan algebras, and on the following theorems ...
Anquela, José Angel, Montaner, Fernando, Cortés, Teresa   +2 more
openaire   +1 more source

Scalar characterization in Banach Jordan algebras

Universal Journal of Mathematics and Applications, 2018
Using a Diagonalization Theorem obtained when the spectrum is Lipschitzian, we extend a result of G. Braatvedt on scalar characterization in Banach algebras to Banach-Jordan algebras.
Abdelaziz Maouche
doaj   +1 more source

Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian, Chris Parker, Jason Semeraro, Martin van Beek   +3 more
wiley   +1 more source

Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras

Journal of Inequalities and Applications, 2005
We prove that a Jordan homomorphism from a Banach algebra into a semisimple commutative Banach algebra is a ring homomorphism. Using a signum effectively, we can give a simple proof of the Hyers-Ulam-Rassias stability of a Jordan homomorphism between ...
Hirasawa Go, Miura Takeshi, Takahasi Sin-Ei   +2 more
doaj  

Small sunflowers and the structure of slice rank decompositions

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We prove that for every integer d⩾2$d \geqslant 2$, every nonnegative integer k$k$ and every finite field F$\mathbb {F}$ there exists an integer C(d,k,|F|)$C(d,k,|\mathbb {F}|)$ such that every order‐d$d$ tensor with slice rank k$k$ over F$\mathbb {F}$ admits at most C(d,k,|F|)$C(d,k,|\mathbb {F}|)$ decompositions with length k$k$, up to a ...
Thomas Karam
wiley   +1 more source

On the Relationship between Jordan Algebras and Their Universal Enveloping Algebras

International Journal of Mathematics and Mathematical Sciences, 2020
The relationship between JW-algebras (resp. JC-algebras) and their universal enveloping von Neumann algebras (resp. C∗-algebras) can be described as significant and influential. Examples of numerous relationships have been established.
F. B. H. Jamjoom, A. H. Al Otaibi
doaj   +1 more source

Critically fixed Thurston maps: classification, recognition, and twisting

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract An orientation‐preserving branched covering map f:S2→S2$f\colon S^2\rightarrow S^2$ is called a critically fixed Thurston map if f$f$ fixes each of its critical points. It was recently shown that there is an explicit one‐to‐one correspondence between Möbius conjugacy classes of critically fixed rational maps and isomorphism classes of planar ...
Mikhail Hlushchanka, Nikolai Prochorov
wiley   +1 more source

Mating parabolic rational maps with Hecke groups

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract We prove that any degree d$d$ rational map having a parabolic fixed point of multiplier 1 with a fully invariant and simply connected immediate basin of attraction is mateable with the Hecke group Hd+1$\mathcal {H}_{d+1}$, with the mating realised by an algebraic correspondence.
Shaun Bullett, Luna Lomonaco, Mikhail Lyubich, Sabyasachi Mukherjee   +3 more
wiley   +1 more source

Entropy rigidity for cusped Hitchin representations

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We establish an entropy rigidity theorem for Hitchin representations of geometrically finite Fuchsian groups which generalizes a theorem of Potrie and Sambarino for Hitchin representations of closed surface groups. In the process, we introduce the class of (1,1,2)‐hypertransverse groups and show for such a group that the Hausdorff dimension of
Richard Canary, Tengren Zhang, Andrew Zimmer   +2 more
wiley   +1 more source

Jordan and Local Multipliers on Certain Banach Algebras are Multipliers [PDF]

Sahand Communications in Mathematical Analysis
We prove that every continuous Jordan multiplier $T$ from a  $C^*$-algebra $A$ into a Banach $A$-bimodule $X$ is a multiplier. We also characterize continuous linear maps on $C^*$-algebras and standard operator algebras determined by preserving some ...
Abbas Zivari-Kazempour, Ahmad Minapoor
doaj   +1 more source