Results 81 to 90 of about 410,348 (334)
Junction Type Representations of the Temperley-Lieb Algebra and Associated Symmetries
Symmetry, 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
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Coherent states for a quantum particle on a circle
, 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
Advanced 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
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Multinomial fix-Mahonian statistics [PDF]
Surveys in Mathematics and its ApplicationsThe 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
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Ring homomorphisms on real Banach algebras
International 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
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Advanced 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
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Nonselfadjoint Representations of C ∗ -Algebras [PDF]
Proceedings 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
Acta 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
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Review of Memristors for In‐Memory Computing and Spiking Neural Networks
Advanced 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 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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