%0 Journal Article %A Calixto Molina, Manuel %T Structure constants for the new infinite-dimensional lie algebras of U(N+,N-)] tensor operators and applications %D 2000 %@ 0305-4470 %U http://hdl.handle.net/10317/501 %U http://arxiv.org/abs/hep-th/9911171v2 %X The structure constants for Moyal brackets of an infinite basis of functions on the algebraic manifolds M of pseudo-unitary groups U(N+,N−) are provided. They generalize the Virasoro and W1 algebras to higher dimensions. The connection with volumepreserving diffeomorphisms on M, higher generalized-spin and tensor operator algebras of U(N+,N−) is discussed. These centrally-extended, infinite-dimensional Lie-algebras provide also the arena for non-linear integrable field theories in higher dimensions, residual gauge symmetries of higher-extended objects in the light-cone gauge and C -algebras for tractable non-commutative versions of symmetric curved spaces. %K Matemática Aplicada %K Colector %K Estructuras constantes %~ GOEDOC, SUB GOETTINGEN