Results 61 to 70 of about 6,951 (120)
Deformations of Anosov subgroups: Limit cones and growth indicators
Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley +1 more source
A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals
Abstract By considering a suitable renormalization of the Temperley–Lieb category, we study its specialization to the case q=0$q=0$. Unlike the q≠0$q\ne 0$ case, the obtained monoidal category, TL0(k)$\mathcal {TL}_0(\mathbb {k})$, is not rigid or braided. We provide a closed formula for the Jones–Wenzl projectors in TL0(k)$\mathcal {TL}_0(\mathbb {k})$
Moaaz Alqady, Mateusz Stroiński
wiley +1 more source
Homomorphisms of Jordan algebras and homomorphisms of projective planes [PDF]
This paper deals with a relation between homomorphisms of Moufang planes and homomorphisms of the corresponding Jordan algebras. The author proves in Theorem 1 and its Corollary that every Jordan homomorphism \(\sigma\) such that \((1[ij])^{\sigma}=1[ij]'\) implies a projective plane homomorphism.
openaire +2 more sources
N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited
ABSTRACT In this article, a general solution formula is derived for the d×d${\sf d}\times {\sf d}$‐matrix modified Korteweg–de Vries equation. Then, a solution class corresponding to special parameter choices is examined in detail. Roughly, this class can be described as N$N$‐solitons (in the sense of Goncharenko) with common phase matrix. It turns out
Sandra Carillo +2 more
wiley +1 more source
Approximately
Let , and let be two rings. An additive map is called -Jordan homomorphism if for all . In this paper, we establish the Hyers-Ulam-Rassias stability of -Jordan homomorphisms on Banach algebras.
Karimi T +2 more
doaj
A Jordan–Chevalley decomposition beyond algebraic groups
Abstract We prove a decomposition of definable groups in o‐minimal structures generalizing the Jordan–Chevalley decomposition of linear algebraic groups. It follows that any definable linear group G$G$ is a semidirect product of its maximal normal definable torsion‐free subgroup N(G)$\mathcal {N}(G)$ and a definable subgroup P$P$, unique up to ...
Annalisa Conversano
wiley +1 more source
Mean‐field limit of non‐exchangeable systems
Abstract This paper deals with the derivation of the mean‐field limit for multi‐agent systems on a large class of sparse graphs. More specifically, the case of non‐exchangeable multi‐agent systems consisting of non‐identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept ...
Pierre‐Emmanuel Jabin +2 more
wiley +1 more source
The homological spectrum via definable subcategories
Abstract We develop an alternative approach to the homological spectrum of a tensor‐triangulated category through the lens of definable subcategories. This culminates in a proof that the homological spectrum is homeomorphic to a quotient of the Ziegler spectrum.
Isaac Bird, Jordan Williamson
wiley +1 more source
Jordan homomorphisms: A survey
The paper surveys the history and state-of-the-art of the study of Jordan homomorphisms.
Brešar, Matej, Zelmanov, Efim
openaire +2 more sources
A Formalization of the Smith Normal Form in Higher-Order Logic. [PDF]
Divasón J, Thiemann R.
europepmc +1 more source

