Results 1 to 10 of about 55,778 (240)

Equivariant map superalgebras [PDF]

Mathematische Zeitschrift, 2015
Suppose a group $\Gamma$ acts on a scheme $X$ and a Lie superalgebra $\mathfrak{g}$. The corresponding equivariant map superalgebra is the Lie superalgebra of equivariant regular maps from $X$ to $\mathfrak{g}$.
A Savage, Alistair Savage, B Feigin, E Neher, G Fourier, H Li, L Frappat, M Lau, P Batra, S Eswara Rao, S Eswara Rao, S-J Cheng, V Chari, V Chari, V Chari, V Chari, V Chari, V Chari, VG Kac, VG Kac, VG Kac   +20 more
core   +5 more sources

Deep generative model for the inverse design of Van der Waals heterostructures [PDF]

Scientific Reports
This study proposes ConditionCDVAE+, a crystal diffusion variational autoencoder (CDVAE) based deep generative model for inverse design of van der Waals (vdW) heterostructures.
Shikun Gao, Qinyuan Huang, Chen Huang, Cheng Li, Kaihao Liu, Baisheng Sa, Yadong Yu, Dezhen Xue, Zhe Liu, Mengyan Dai   +9 more
doaj   +2 more sources

A continuity argument for a semilinear Skyrme model

Electronic Journal of Differential Equations, 2010
We investigate a semilinear modification for the wave map problem proposed by Adkins and Nappi [1], and prove that in the equivariant case the solution remain continuous at the first possible singularity.
Dan-Andrei Geba, Sarada G. Rajeev
doaj   +3 more sources

Separated finitely supported $Cb$-sets [PDF]

Categories and General Algebraic Structures with Applications, 2020
The monoid $Cb$ of name substitutions and the notion of finitely supported $Cb$-sets introduced by Pitts as a generalization of nominal sets. A simple finitely supported $Cb$-set is a one point extension of a cyclic nominal set.
Khadijeh Keshvardoost, Mojgan Mahmoudi
doaj   +1 more source

Lie Group Equivariant Convolutional Neural Network Based on Laplace Distribution

Remote Sensing, 2023
Traditional convolutional neural networks (CNNs) lack equivariance for transformations such as rotation and scaling. Consequently, they typically exhibit weak robustness when an input image undergoes generic transformations.
Dengfeng Liao, Guangzhong Liu
doaj   +1 more source

Rotation-equivariant transformer for oriented person detection of overhead fisheye images

Complex & Intelligent Systems, 2023
Overhead fisheye images can be used for person detection in intelligent monitoring systems. Unlike horizontal images, people in fisheye cameras are generally distributed in any orientation.
You Zhou, Yong Bai, Yongqing Chen
doaj   +1 more source

Explicit construction of mock modular forms from weakly holomorphic Hecke eigenforms

Open Mathematics, 2022
Extending our previous work we construct weakly holomorphic Hecke eigenforms whose period polynomials correspond to elements in a basis consisting of odd and even Hecke eigenpolynomials induced by only cusp forms.
Choi SoYoung, Kim Chang Heon
doaj   +1 more source

Fredholm conditions for operators invariant with respect to compact Lie group actions

Comptes Rendus. Mathématique, 2021
Let $G$ be a compact Lie group acting smoothly on a smooth, compact manifold $M$, let $P \in \psi ^m(M; E_0, E_1)$ be a $G$–invariant, classical pseudodifferential operator acting between sections of two $G$-equivariant vector bundles $E_i \rightarrow M$,
Baldare, Alexandre, Côme, Rémi, Nistor, Victor   +2 more
doaj   +1 more source

4-manifolds and topological modular forms

Journal of High Energy Physics, 2021
We build a connection between topology of smooth 4-manifolds and the theory of topological modular forms by considering topologically twisted compactification of 6d (1, 0) theories on 4-manifolds with flavor symmetry backgrounds.
Sergei Gukov, Du Pei, Pavel Putrov, Cumrun Vafa   +3 more
doaj   +1 more source

The research of (G,w)-Chaos and G-Lipschitz shadowing property

AIMS Mathematics, 2022
In this paper, we introduce the concepts of (G,w)− Chaos and G− Lipschitz shadowing property. We study the dynamical properties of (G,w)− Chaos in the inverse limit space under group action.
Zhanjiang Ji
doaj   +1 more source