Results 61 to 70 of about 12,088 (187)

A coboundary Temperley–Lieb category for sl2$\mathfrak {sl}_{2}$‐crystals

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
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

Approximately -Jordan Homomorphisms on Banach Algebras

Journal of Inequalities and Applications, 2009
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, Kaboli Gharetapeh S, Gordji MEshaghi   +2 more
doaj  

N$N$‐Soliton Matrix mKdV Solutions: Some Special Solutions Revisited

Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.
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, Mauro Lo Schiavo, Cornelia Schiebold   +2 more
wiley   +1 more source

A Jordan–Chevalley decomposition beyond algebraic groups

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
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

Homomorphisms of Jordan algebras and homomorphisms of projective planes [PDF]

Czechoslovak Mathematical Journal, 1986
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

Mean‐field limit of non‐exchangeable systems

Communications on Pure and Applied Mathematics, Volume 78, Issue 4, Page 651-741, April 2025.
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, David Poyato, Juan Soler   +2 more
wiley   +1 more source

The homological spectrum via definable subcategories

Bulletin of the London Mathematical Society, Volume 57, Issue 4, Page 1040-1064, April 2025.
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

Orthogonally C^∗‐Ternary Jordan Homomorphisms and Jordan Derivations: Solution and Stability [PDF]

, 2022
Vahid Keshavarz, Sedigheh Jahedi
openalex   +1 more source

Arithmetic Satake compactifications and algebraic Drinfeld modular forms

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley   +1 more source

From the conformal anomaly to the Virasoro algebra

Proceedings of the London Mathematical Society, Volume 130, Issue 4, April 2025.
Abstract The conformal anomaly and the Virasoro algebra are fundamental aspects of two‐dimensional conformal field theory and conformally covariant models in planar random geometry. In this article, we explicitly derive the Virasoro algebra from an axiomatization of the conformal anomaly in terms of real determinant lines, one‐dimensional vector spaces
Sid Maibach, Eveliina Peltola
wiley   +1 more source