Results 171 to 180 of about 64,616 (316)

Representing the special linear group with block unitriangular matrices. [PDF]

PNAS Nexus, 2023
Urschel J.
europepmc   +1 more source

Division properties of commuting polynomials [PDF]

arXiv
Polynomials commute under composition are referred to as commuting polynomials. In this paper, we study division properties for commuting polynomials with rational (and integer) coefficients. As a consequence, we show an algebraic particularity of the commuting polynomials coming from weighted sums for cycle graphs with pendant edges (arXiv:2402 ...
arxiv  

Essential Role of the Anterior Piriform Cortex in Mediating Social Novelty Output via a Top–Down Circuit

Advanced Science, Volume 12, Issue 13, April 3, 2025.
The anterior piriform cortex (APC) exhibits distinct neural firings and calcium transients in response to familiar and novel mice, with a more robust response to the novel one. Selectively inhibiting APC pyramidal neurons disrupt social novelty recognition without impairing basic odor discrimination.
Jingwei Zhou, Zhaoyang Yin, Zhiyun Chen, Hanyu Fu, Qun Li, Shan Li, Ying Zhang, Xianzhi Zhang, Dewei Tang, Anan Li, Dejuan Wang   +10 more
wiley   +1 more source

On the values of commutativity degree of Lie algebras [PDF]

arXiv
In this paper, the possible values of commutativity degree of Lie algebras are determined. Also, we define the asymptotic commutativity degree of Lie algebras and obtain the asymptotic commutativity degree for some of them. Moreover, we prove the existence of a family of Lie algebras such that the asymptotic commutativity degree is equal to 1\qk for ...
arxiv  

An Algebraic Roadmap of Particle Theories

Annalen der Physik, Volume 537, Issue 4, April 2025.
The SO(10) grand unified theory, the Georgi–Glashow SU(5) grand unified theory, the Pati–Salam model, the Left–Right Symmetric model, and the Standard model have been studied extensively since the 1970s. Recasting these models in a division algebraic language elucidates how they are each in fact connected.
Nichol Furey
wiley   +1 more source

Non-Commutative Deformations of Derived McKay Correspondence for A(n) singularities [PDF]

arXiv
The derived McKay correspondence conjecture says that there is an equivalence of triangulated categories between the bounded derived categories of commutative and non-commutative crepant resolutions of a Gorenstein singularity. We will prove that this derived equivalence extends between the semi-universal non-commutative deformations of the commutative
arxiv  

Mori dream bonds and C∗${\mathbb {C}}^*$‐actions

Mathematische Nachrichten, Volume 298, Issue 4, Page 1127-1147, April 2025.
Abstract We construct a correspondence between Mori dream regions arising from small modifications of normal projective varieties and C∗${\mathbb {C}}^*$‐actions on polarized pairs which are bordisms. Moreover, we show that the Mori dream regions constructed in this way admit a chamber decomposition on which the models are the geometric quotients of ...
Lorenzo Barban, Eleonora A. Romano, Luis E. Solá Conde, Stefano Urbinati   +3 more
wiley   +1 more source

Quantum Bounds on the Generalized Lyapunov Exponents. [PDF]

Entropy (Basel), 2023
Pappalardi S, Kurchan J.
europepmc   +1 more source

The L-to-L boundedness of commutators with applications to the Jacobian operator [PDF]

Journal des Mathématiques Pures et Appliquées, 2018
T. Hytonen
semanticscholar   +1 more source

On a conjecture on aCM and Ulrich sheaves on degeneracy loci

Mathematische Nachrichten, Volume 298, Issue 4, Page 1148-1166, April 2025.
Abstract In this paper, we address a conjecture by Kleppe and Miró‐Roig stating that suitable twists by line bundles (on the smooth locus) of the exterior powers of the normal sheaf of a standard determinantal locus are arithmetically Cohen–Macaulay, and even Ulrich when the locus is linear determinantal.
Vladimiro Benedetti, Fabio Tanturri
wiley   +1 more source