Results 121 to 130 of about 2,227,858 (357)

Representation of 𝐴-convex algebras [PDF]

Proceedings of the American Mathematical Society, 1973
Algebraic properties of A A -convex algebras are developed via a functor to locally m m -convex algebras. The Gel’fand-Mazur theorem holds for A A -convex algebras, and this fact allows a Gel’fand-type representation theorem for a subclass of uniformly A A -convex algebras. Connections
openaire   +1 more source

The standard form of a representation-finite algebra

, 1983
. - The importance of covering techniques for the investigation of the representations of finite-dimensional algebras is well-known since [RI 1] and [BG]. When the algebra A admits only finitely many isomorphism classes of indecomposable representations,
O. Bretscher, P. Gabriel
semanticscholar   +1 more source

Graph Attention Neural Networks for Interpretable and Generalizable Prediction of Janus III–Vi Van Der Waals Heterostructures

Advanced Intelligent Discovery, EarlyView.
A crystal graph neural network based on the attention mechanism is proposed in this work. The model dynamically weights features through the attention mechanism, enabling precise prediction of properties of material from structural features. Here, taking Janus III–VI van der Waals heterostructures as a representative case, the properties have been ...
Yudong Shi, Zhao Zheng, Yinggan Zhang, Zhou Cui, Peng Lin, Cuilian Wen, Baisheng Sa, Zhimei Sun   +7 more
wiley   +1 more source

The 4-CB algebra and solvable lattice models

Journal of High Energy Physics, 2019
We study the algebras underlying solvable lattice models of the type fusion interaction round the face (IRF). We propose that the algebras are universal, depending only on the number of blocks, which is the degree of polynomial equation obeyed by the ...
Vladimir Belavin, Doran Gepner, Jian-Rong Li, Ran Tessler   +3 more
doaj   +1 more source

Representation of Jordan and Lie Algebras [PDF]

, 1949
Garrett Birkhoff, Philip M. Whitman
openalex   +1 more source

Representation Theory of the Witt Algebra

, 1998
1.1. Let g be a finite-dimensional restricted Lie algebra over an algebraically closed field of characteristic p ) 0. Every simple g-module is U Ž w finite-dimensional and therefore admits a character x g g see SF, x. U Theorem 5.2.5 .
Jörg Feldvoss, D. Nakano
semanticscholar   +1 more source

A Shared Control Method of Multiobjective Motion Fusion for Surgical Robot

Advanced Intelligent Systems, EarlyView.
This paper proposes an innovative shared control method that can handle multiple objectives task by integrating various types of controllers. It not only takes into account the priorities among the objectives but also allows for the flexible addition or removal of objective controllers.
Xilin Xiao, Xiaojian Li, Hangjie Mo, Yudong Shi, Jing Fang, Ling Li, Bo Ouyang, Shanlin Yang   +7 more
wiley   +1 more source

Reprogrammable, In‐Materia Matrix‐Vector Multiplication with Floppy Modes

Advanced Intelligent Systems, EarlyView.
This article describes a metamaterial that mechanically computes matrix‐vector multiplications, one of the fundamental operations in artificial intelligence models. The matrix multiplication is encoded in floppy modes, near‐zero force deformations of soft matter systems.
Theophile Louvet, Parisa Omidvar, Marc Serra‐Garcia   +2 more
wiley   +1 more source

Bundles of Banach algebras

International Journal of Mathematics and Mathematical Sciences, 1994
We study bundles of Banach algebras π:A→X, where each fiber Ax=π−1({x}) is a Banach algebra and X is a compact Hausdorff space. In the case where all fibers are commutative, we investigate how the Gelfand representation of the section space algebra Γ(π ...
J. W. Kitchen, D. A. Robbins
doaj   +1 more source

Effectiveness of the representation theory for Boolean algebras [PDF]

, 1955
J. Łoś, C. Ryll–Nardzewski
openalex   +1 more source