Results 91 to 100 of about 398,973 (330)
Algebras of right ample semigroups
Open Mathematics, 2018 Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
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Quantum groups, Yang–Baxter maps and quasi-determinants
Nuclear Physics B, 2018 For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
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In Situ Graph Reasoning and Knowledge Expansion Using Graph‐PRefLexOR
Advanced Intelligent Discovery, EarlyView.Graph‐PRefLexOR is a novel framework that enhances language models with in situ graph reasoning, symbolic abstraction, and recursive refinement. By integrating graph‐based representations into generative tasks, the approach enables interpretable, multistep reasoning.
Markus J. Buehler
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Filtered Algebras and Representations of Lie Algebras [PDF]
Transactions of the American Mathematical Society, 1961 Introduction. There is a general question as to how much can be said about a filtered object through the knowledge of its associated graded object. We consider here a particular case of this general problem. We take the symmetric algebra S(L) of a free K-module L and look for filtered K-algebras whose associated graded algebras are isomorphic to S(L ...
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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 +7 more
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On the Indecomposable Representations of Algebras [PDF]
The Annals of Mathematics, 1957 Let A be a finite dimensional associative algebra and d an integer, let gA(d) be the number of inequivalent indecomposable representations of A of degree d. We shall say that A is of strongly unbounded (representation) type if gA(d) is infinite for an infinite number of integers d.
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The Lie algebra cohomology of jets
, 2002 Let g be a finite-dimensional complex semi simple Lie algebra. We present a new calculation of the continuous cohomology of the Lie algebra z g[[z]]. In particular, we shall give an explicit formula for the Laplacian on the Lie algebra cochains, from ...
Kim, Yunhyong
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Some Results about Triangular Representations of Lie Algebras [PDF]
, 2014 We introduce the concept of a triangular representation of a Lie algebra, give a counterpart of Ado's theorem, and discuss $2$-irreducible triangular modules over a nonreductive Lie ...
Liu, Keqin
core
Advanced Intelligent Systems, EarlyView.This article offers a comprehensive review of topic modeling techniques, tracing their evolution from inception to recent developments. It explores methods such as latent Dirichlet allocation, latent semantic analysis, non‐negative matrix factorization, probabilistic latent semantic analysis, Top2Vec, and BERTopic, highlighting their strengths ...
Pratima Kumari +6 more
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Advanced Intelligent Systems, EarlyView.An online learning control framework with a data cache pool based on a constant‐curvature model inspired neural network (CCMINN) model to obtain the inverse kinematics model of tendon‐actuated continuum manipulators is proposed. Combining the fast‐converging CCMINN with an online learning control framework enables high‐precision and highly robust ...
Jinyu Duan +5 more
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