منابع مشابه
Omni-Lie Algebras
Without the factor of 1 2 , this would be the semidirect product Lie algebra for the usual action of gl(n,R) on R. With the factor of 1 2 , the bracket does not satisfy the Jacobi identity. Nevertheless, it does satisfy the Jacobi identity on many subspaces which are closed under the bracket. In fact, we will see that any Lie algebra structure on R is realized on such a subspace. If B is any bi...
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We construct an explicit example of a generalized Lie 3-algebra from the octonions. In combination with the result of [1], this gives rise to a three-dimensional N = 2 Chern-Simons-matter theory with exceptional gauge group G2 and with global symmetry SU(4) × U(1). This gives a possible candidate for the theory on multiple M2-branes with G2 gauge symmetry.
متن کاملOmni-lie Algebroids *
A generalized Courant algebroid structure is defined on the direct sum bundle DE ⊕ JE, where DE and JE are the gauge Lie algebroid and the jet bundle of a vector bundle E respectively. Such a structure is called an omni-Lie algebroid since it is reduced to the omni-Lie algebra introduced by A.Weinstein if the base manifold is a point. We prove that any Lie algebroid structure on E is characteri...
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We give an algorithm of decomposition for a finite-dimensional Lie algebra over a field of characteristic 0 permitting to generalize the derivation tower theorem of Lie algebras.
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A unital $C^*$ -- algebra $mathcal A,$ endowed withthe Lie product $[x,y]=xy- yx$ on $mathcal A,$ is called a Lie$C^*$ -- algebra. Let $mathcal A$ be a Lie $C^*$ -- algebra and$g,h:mathcal A to mathcal A$ be $Bbb C$ -- linear mappings. A$Bbb C$ -- linear mapping $f:mathcal A to mathcal A$ is calleda Lie $(g,h)$ -- double derivation if$f([a,b])=[f(a),b]+[a,f(b)]+[g(a),h(b)]+[h(a),g(b)]$ for all ...
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ژورنال
عنوان ژورنال: Hacettepe Journal of Mathematics and Statistics
سال: 2019
ISSN: 2651-477X
DOI: 10.15672/hujms.568290