Results 41 to 50 of about 8,728,657 (238)

Lie algebras: infinite generalizations and deformations [PDF]

open access: yes, 1990
There are many applications of Lie algebras to theoretical physics. This thesis is a study of some new mathematical structures which also are applicable to current physical ideas.
Fletcher, Paul, Fletcher, P
core  

Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies

open access: yesAdvanced Science, EarlyView.
A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang   +14 more
wiley   +1 more source

Group Actions on Central Simple Algebras

open access: yesJournal of Algebra, 2002
Let $G$ be a group, $F$ a field, and $A$ a finite-dimensional central simple algebra over $F$ on which $G$ acts by $F$-algebra automorphisms. We study the ideals and subalgebras of $A$ which are preserved by the group action. Let $V$ be the unique simple module of $A$.
openaire   +2 more sources

Tau Aggregate Imaging and Transcriptomics of Alzheimer's Disease Brain at Different Stages of Disease

open access: yesAdvanced Science, EarlyView.
The protein aggregates and gene expression in the middle temporal gyrus (MTG) and somatosensory cortex (SOM) of the postmortem brains of 13 Alzheimer's disease patients were studied in detail, revealing that small hyperphosphorylated tau aggregates increase with Braak stage driven by microglial inflammation.
Elizabeth A. English   +9 more
wiley   +1 more source

On simplicity of Cuntz algebras and its applications [PDF]

open access: yesSurveys in Mathematics and its Applications
Cuntz algebra 𝒪2 is the universal C*-algebra generated by two isometries s1, s2 satisfying s1s1*+s2s2*=1. This is separable, simple, infinite C*-algebra containing a copy of any nuclear C*-algebra.
Massoud Amini, Mahdi Moosazadeh
doaj  

All chiral W $$ \mathcal{W} $$ -algebra extensions of so 2 3 $$ \mathfrak{so}\left(2,3\right) $$

open access: yesJournal of High Energy Physics
We show that there are four chiral W $$ \mathcal{W} $$ -algebra extensions of so 2 3 $$ \mathfrak{so}\left(2,3\right) $$ algebra and construct them explicitly. We do this by a simple identification of each of the inequivalent embeddings of a copy of sl 2
Nishant Gupta, Nemani V. Suryanarayana
doaj   +1 more source

Extensions of valuation rings in central simple algebras [PDF]

open access: yesTransactions of the American Mathematical Society, 1990
Certain subrings R R of simple algebras
Brungs, H. H., Gräter, J.
openaire   +2 more sources

Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections

open access: yesAdvanced Electronic Materials, EarlyView.
The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley   +1 more source

A dynamical Lie-algebraic framework for Hamiltonian engineering and quantum control

open access: yesNew Journal of Physics
Determining the unitary dynamics accessible from finite Hamiltonian resources is a central problem in Hamiltonian engineering and quantum control. Dynamical Lie algebras (DLAs) connect available control Hamiltonians with the reachable dynamics, but their
Yanying Liang   +4 more
doaj   +1 more source

Synchronization of Analog Neuron Circuits With Digital Memristive Synapses: An Hybrid Approach

open access: yesAdvanced Electronic Materials, EarlyView.
An hybrid circuit mimicking neural units coupled using memristive synapses is introduced. The analog neurons provide flexibility and robustness, and the digital memristive coupling guarantees the full reconfigurability of the interconnection. The onset of a synchronized spiking behavior in two circuits mimicking the Izhikevich neuron is discussed from ...
Lamberto Carnazza   +3 more
wiley   +1 more source

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