Results 1 to 10 of about 460 (128)
The adjoint representation inside the exterior algebra of a simple Lie algebra
Advances in Mathematics, 2015 Final version. More misprints corrected.
Paolo Papi, Claudio Procesi
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Homology of the Lie algebra of vector fields on the line with coefficients in symmetric powers of its adjoint representation [PDF]
Functional Analysis and Its Applications, 2006 We compute the homology of the Lie algebra~$W_1$ of (polynomial)vector fields on a line with coefficients in symmetric powersof its adjoint representation. We also list the results obtained so farfor the homology with coefficients in tensor powers and, in turn, use themfor partially computing the homology of the Liealgebra of currents on a line with ...
Vladimir Dotsenko
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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
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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
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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
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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
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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
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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
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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
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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
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