Results 31 to 40 of about 408,661 (238)

Higher Spin Symmetries of the Free Schrödinger Equation

open access: yesAdvances in Mathematical Physics, 2016
It is shown that the Schrödinger symmetry algebra of a free particle in d spatial dimensions can be embedded into a representation of the higher spin algebra.
Mauricio Valenzuela
doaj   +1 more source

Set-partition tableaux and representations of diagram algebras [PDF]

open access: yes, 2019
The partition algebra is an associative algebra with a basis of set-partition diagrams and multiplication given by diagram concatenation. It contains as subalgebras a large class of diagram algebras including the Brauer, planar partition, rook monoid ...
Halverson, Tom, Jacobson, Theodore N.
core   +3 more sources

The Quantum Symmetry in Nonbalanced Hopf Spin Models Determined by a Normal Coideal Subalgebra

open access: yesJournal of Mathematics, 2021
For a finite-dimensional cocommutative semisimple Hopf C∗-algebra H and a normal coideal ∗-subalgebra H1, we define the nonbalanced quantum double DH1;H as the crossed product of H with H1op^, with respect to the left coadjoint representation of the ...
Xin Qiaoling, Cao Tianqing
doaj   +1 more source

Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups

open access: yes, 2013
The phase space given by the cotangent bundle of a Lie group appears in the context of several models for physical systems. A representation for the quantum system in terms of non-commutative functions on the (dual) Lie algebra, and a generalized notion ...
Guedes, Carlos   +2 more
core   +1 more source

New twisted quantum current algebras [PDF]

open access: yes, 1998
We introduce a twisted quantum affine algebra associated to each simply laced finite dimensional simple Lie algebra. This new algebra is a Hopf algebra with a Drinfeld-type comultiplication. We obtain this algebra by considering its vertex representation.
Jing, Naihuan
core   +2 more sources

An Adaptive Human Pilot Model With Reaction Time Delay for Enhanced Adaptive Control in Piloted Systems

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley   +1 more source

A Thermodynamic 3D Model for the Simulation of Diffusion‐Controlled Alloying Processes in Heterogeneous Material Structures

open access: yesAdvanced Engineering Materials, EarlyView.
A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer   +3 more
wiley   +1 more source

Demonstration of an All‐Optical AND Gate Mediated by Photochromic Molecules

open access: yesAdvanced Functional Materials, EarlyView.
A logic AND gate that runs on photons is demonstrated. It relies on two spatially separated photochromic molecules that work in tandem. Abstract The realization of a photonic logic AND gate, i.e. a logic AND gate that runs on photons rather than electrons, and where all steps are controlled by light, is demonstrated. In a proof‐of‐principle experiment,
Heyou Zhang   +7 more
wiley   +1 more source

Algebras and their covariant representations in quantum gravity

open access: yesJournal of High Energy Physics
We study a physically motivated representation of an algebra of operators in gravitational and non gravitational theories called the covariant representation of an algebra.
Eyoab Bahiru
doaj   +1 more source

Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras

open access: yesJournal of Mathematics, 2021
Gorenstein-projective module is an important research topic in relative homological algebra, representation theory of algebras, triangulated categories, and algebraic geometry (especially in singularity theory).
Dadi Asefa
doaj   +1 more source

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