Results 1 to 10 of about 55,199 (114)
The adjoint representation inside the exterior algebra of a simple Lie algebra [PDF]
Advances in Mathematics, 2015 Final version. More misprints corrected.
DE CONCINI, Corrado +2 more
openaire +6 more sources
Useful relations among the generators in the defining and adjoint representations of SU(N)
SciPost Physics Lecture Notes, 2021 There are numerous relations among the generators in the defining and adjoint representations of SU(N). These include Casimir operators, formulae for traces of products of generators, etc.
Howard E. Haber
doaj +1 more source
Deformations of the three-dimensional Lie algebra sl(2)
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 Deformation is one of key questions of the structural theory of algebras over a field. Especially, it plays a important role in the classification of such algebras.
A.A. Ibrayeva +2 more
doaj +1 more source
Results 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 +1 more source
Multiplicity of the Adjoint Representation in Simple Quotients of the Enveloping Algebra of a Simple Lie Algebra [PDF]
Transactions of the American Mathematical Society, 1989 Let g \mathfrak {g} be a complex simple Lie algebra, h \mathfrak {h} a Cartan subalgebra and U ( g ) U(\mathfrak {g}) the enveloping algebra of g \mathfrak {g} . We calculate for each maximal two-sided
openaire +2 more sources
Entropy, 2016 We introduce the symplectic structure of information geometry based on Souriau’s Lie group thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its moment space, defining physical ...
Frédéric Barbaresco
doaj +1 more source
Journal of High Energy Physics, 2018 We present a unified and completely general formulation of extended geometry, characterised by a Kac-Moody algebra and a highest weight coordinate module.
Martin Cederwall, Jakob Palmkvist
doaj +1 more source
BPS Center Vortices in Nonrelativistic SU(N) Gauge Models with Adjoint Higgs Fields
Advances in High Energy Physics, 2015 We propose a class of SU(N) Yang-Mills models, with adjoint Higgs fields, that accept BPS center vortex equations. The lack of a local magnetic flux that could serve as an energy bound is circumvented by including a new term in the energy functional ...
L. E. Oxman
doaj +1 more source
Non-finitary Generalizations of Nil-triangular Subalgebras of Chevalley Algebras
Известия Иркутского государственного университета: Серия "Математика", 2019 Let $N\Phi(K)$ be a niltriangular subalgebra of Chevalley algebra over a field or ring $K$ associated with root system $\Phi$ of classical type. For type $A_{n-1}$ it is associated to algebra $NT(n,K)$ of (lower) nil-triangular $n \times n$- matrices ...
J. V. Bekker +2 more
doaj +1 more source
Supersymmetric localization in AdS5 and the protected chiral algebra
Journal of High Energy Physics, 2018 N=4 $$ \mathcal{N}=4 $$ super Yang-Mills theory admits [1] a protected subsector isomorphic to a two-dimensional chiral algebra, obtained by passing to the cohomology of a certain supercharge. In the large N limit, we expect this chiral algebra to have a
Federico Bonetti, Leonardo Rastelli
doaj +1 more source