Results 21 to 30 of about 2,742,459 (94)

Lie point symmetry infinitesimals, optimal system, power series solution, and modulational gain spectrum to the mathematical Noyes–Field model of nonlinear homogeneous oscillatory Belousov–Zhabotinsky reaction

open access: yesResults in Physics, 2023
Introduction:: The chemical oscillators are identified as open system that demonstrate periodic changes in the concentration of some reaction species as a result of intricate physico-chemical mechanisms which can lead to bi-stability, the occurrence of ...
Ebrahem A. Algehyne   +4 more
doaj  

Invariant Tensors Formulae via Chord Diagrams [PDF]

open access: yes, 2005
We provide an explicit algorithm to calculate invariant tensors for the adjoint representation of the simple Lie algebra $sl(n)$, as well as arbitrary representation in terms of roots.
Campoamor-Stursberg, R., Manturov, V. O.
core   +2 more sources

On different approaches to IRF lattice models. Part II

open access: yesJournal of High Energy Physics
This paper represents a continuation of our previous work, where the Boltzmann weights (BWs) for several Interaction-Round-the Face (IRF) lattice models were computed using their relation to rational conformal field theories.
Vladimir Belavin   +3 more
doaj   +1 more source

Computable conditions for order-2 CP symmetry in NHDM potentials

open access: yesJournal of High Energy Physics
We derive necessary and sufficient conditions for order-2 CP (CP2) symmetry in N-Higgs-doublet potentials for N > 2. The conditions, which are formulated as relations between vectors that transform under the adjoint representation of SU(N) under a change
R. Plantey, M. Aa. Solberg
doaj   +1 more source

Deformations of Lie 2-algebras

open access: yes, 2013
In this paper, we consider deformations of Lie 2-algebras via the cohomology theory. We prove that a 1-parameter infinitesimal deformation of a Lie 2-algebra $\g$ corresponds to a 2-cocycle of $\g$ with the coefficients in the adjoint representation. The
Liu, Zhangju, Sheng, Yunhe, Zhang, Tao
core   +1 more source

Quantum affine transformation group and covariant differential calculus

open access: yes, 1993
We discuss quantum deformation of the affine transformation group and its Lie algebra. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple realizations and quantum tensor operators.
Aizawa, N., Sato, H. -T.
core   +2 more sources

Superalgebras in $N=1$ Gauge Theories [PDF]

open access: yes, 1996
$N=1$ supersymmetric gauge theories with global flavor symmetries contain a gauge invariant W-superalgebra which acts on its moduli space of gauge invariants. With adjoint matter, this superalgebra reduces to a graded Lie algebra. When the gauge group is
Banks   +6 more
core   +3 more sources

On the geometry underlying a real Lie algebra representation [PDF]

open access: yes, 2012
Let $G$ be a real Lie group with Lie algebra $\mathfrak g$. Given a unitary representation $\pi$ of $G$, one obtains by differentiation a representation $d\pi$ of $\mathfrak g$ by unbounded, skew-adjoint operators.
Le-Bert, Rodrigo Vargas
core  

Star Product and Invariant Integration for Lie type Noncommutative Spacetimes

open access: yes, 2007
We present a star product for noncommutative spaces of Lie type, including the so called ``canonical'' case by introducing a central generator, which is compatible with translations and admits a simple, manageable definition of an invariant integral.
A. Sykora   +13 more
core   +1 more source

Application of conserved quantities using the formal Lagrangian of a nonlinear integro partial differential equation through optimal system of one-dimensional subalgebras in physics and engineering

open access: yesOpen Physics
This research article analytically investigates a soliton equation of high dimensions, particularly with applications, and precisely in the fields of physical sciences and engineering.
Adeyemo Oke Davies   +1 more
doaj   +1 more source

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