Results 81 to 90 of about 410,348 (334)

Junction Type Representations of the Temperley-Lieb Algebra and Associated Symmetries

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2010
Inspired by earlier works on representations of the Temperley-Lieb algebra we introduce a novel family of representations of the algebra. This may be seen as a generalization of the so called asymmetric twin representation.
Anastasia Doikou, Nikos Karaiskos
doaj   +1 more source

Coherent states for a quantum particle on a circle

open access: yes, 1998
The coherent states for the quantum particle on the circle are introduced. The Bargmann representation within the actual treatment provides the representation of the algebra $[\hat J,U]=U$, where $U$ is unitary, which is a direct consequence of the ...
Ali M K   +17 more
core   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

Multinomial fix-Mahonian statistics [PDF]

open access: yesSurveys in Mathematics and its Applications
The permutation statistics fix, des, maj, and inv have different original contexts, and appear in diverse scientific domains such as probability, physics, and genomics.
Hery Randriamaro
doaj  

Ring homomorphisms on real Banach algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
Let B be a strictly real commutative real Banach algebra with the carrier space ΦB. If A is a commutative real Banach algebra, then we give a representation of a ring homomorphism ρ:A→B, which needs not be linear nor continuous.
Takeshi Miura, Sin-Ei Takahasi
doaj   +1 more source

Predicting Postresection Colorectal Liver Metastases Recurrence Using Advanced Graph Neural Networks with Explainability and Causal Inference

open access: yesAdvanced Intelligent Systems, EarlyView.
This study introduces a framework that combines graph neural networks with causal inference to forecast recurrence and uncover the clinical and pathological factors driving it. It further provides interpretability, validates risk factors via counterfactual and interventional analyses, and offers evidence‐based insights for treatment planning ...
Jubair Ahmed   +3 more
wiley   +1 more source

Nonselfadjoint Representations of C ∗ -Algebras [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
The following strengthening of a result of B. A. Barnes is proved: If ϕ \phi is a topologically irreducible representation of a C ∗ {C^ \ast } -algebra A \mathfrak {A} on a Banach space such that ϕ ( A )
openaire   +2 more sources

On Representations of sl(n, C) Compatible with a Z2-grading

open access: yesActa Polytechnica, 2010
This paper extends existing Lie algebra representation theory related to Lie algebra gradings. The notion of a representation compatible with a given grading is applied to finite-dimensional representations of sl(n,C) in relation to its Z2-gradings.
M. Havlíček, E. Pelantová, J. Tolar
doaj  

Review of Memristors for In‐Memory Computing and Spiking Neural Networks

open access: yesAdvanced Intelligent Systems, EarlyView.
Memristors uniquely enable energy‐efficient, brain‐inspired computing by acting as both memory and synaptic elements. This review highlights their physical mechanisms, integration in crossbar arrays, and role in spiking neural networks. Key challenges, including variability, relaxation, and stochastic switching, are discussed, alongside emerging ...
Mostafa Shooshtari   +2 more
wiley   +1 more source

Algebras of right ample semigroups

open access: yesOpen 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
doaj   +1 more source

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