Results 101 to 110 of about 402,561 (332)

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.
openaire   +3 more sources

Robotic Needle Steering for Percutaneous Interventions: Sensing, Modeling, and Control

Advanced Intelligent Systems, EarlyView.
This review examines recent advances in robotic needle steering for percutaneous interventions, highlighting closed‐loop sensing, physics‐informed tissue‐needle interaction modeling, and real‐time trajectory planning and control. It synthesizes innovations in deep learning, fiber‐optic feedback, and adaptive control strategies, and outlines emerging ...
Fangjiao Zhao, Ruixue Xu, Wujun Zhao, Xi‐Ming Sun, Yu Sun, Changsheng Dai   +5 more
wiley   +1 more source

Spin one matter fields

European Physical Journal C: Particles and Fields
It is shown how spin one vector matter fields can be coupled to a Yang–Mills theory. Such matter fields are defined as belonging to a representation R of this Yang–Mills gauge algebra $$\mathfrak {g}$$ g .
Daniel O. R. Azevedo, Oswaldo M. Del Cima, Thadeu D. S. Dias, Daniel H. T. Franco, Emílio D. Pereira, Olivier Piguet   +5 more
doaj   +1 more source

Protective Effects of Socioeconomic Status and Lifestyle on Amyloid‐ and White Matter Hyperintensity‐Related Longitudinal Brain Atrophy and Cognitive Decline

Annals of Neurology, EarlyView.
Objective Socioeconomic status (SES) and lifestyle activities (LA) are strongly related, and both are associated with dementia risk. We investigated the influence of SES and LA on brain atrophy and cognitive decline considering amyloid‐beta (Aβ) positron emission tomography and white matter hyperintensity (WMH) load.
Dario Bachmann, Maha Wybitul, Sandro Studer, Antje Saake, Katrin Rauen, Andreas Buchmann, Bettina von Rickenbach, Esmeralda Gruber, Roger M. Nitsch, Christoph Hock, Anton Gietl, Valerie Treyer   +11 more
wiley   +1 more source

so(3) ⊂ su(3) revisited

Acta Polytechnica
This paper reproduces the result of Elliot, namely that the irreducible finite dimensional representation of the Lie algebra su(3) of highest weight (m, n) is decomposed according to the embedding so(3) ⊂ su(3). First, a realisation (a representation in
Čestmír Burdík, Severin Pošta, Erik Rapp   +2 more
doaj   +1 more source

Certain representation algebras [PDF]

Journal of the Australian Mathematical Society, 1965
Let Λ be the set of inequivalent representations of a finite group over a field . Λ is made the basis of an algebra over the complex numbers , called the representation algebra, in which multiplication corresponds to the tensor product of representations and addition to direct sum.
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Low‐Energy Atomic Scattering: S‐Wave Relation Between the Interaction Potential and the Phase Shift

Annalen der Physik, EarlyView.
The validity of the on‐shell approximation for s‐wave scattering is examined across one, two, and three dimensions using exactly solvable model interaction potentials. By comparing exact and approximate s‐wave components of the interaction potential, the analysis reveals that the approximation improves with increasing momentum and decreasing ...
Francesco Lorenzi, Luca Salasnich
wiley   +1 more source

Representation theory of solitons

Journal of High Energy Physics
Solitons in two-dimensional quantum field theory exhibit patterns of degeneracies and associated selection rules on scattering amplitudes. We develop a representation theory that captures these intriguing features of solitons.
Clay Córdova, Nicholas Holfester, Kantaro Ohmori   +2 more
doaj   +1 more source

Simplex algebras and their representation [PDF]

Glasgow Mathematical Journal, 1973
This paper establishes a relationship (Theorem 4.1) between the approaches of A. C. Thompson [8, 9] and E. G. Effros [2] to the representation of simplex algebras, that is, real unital Banach algebras that are simplex spaces with the unit for order identity.
openaire   +3 more sources

A Superalgebra Within: Representations of Lightest Standard Model Particles Form a Z25$\mathbb {Z}_2^5$‐Graded Algebra

Annalen der Physik, EarlyView.
 A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley   +1 more source