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6 papers · 1 filter
Galilean Superconformal Symmetries
J. A. de Azcarraga, J. Lukierski
We consider the non-relativistic c -> \infty contraction limit of the (N=2k)- extended D=4 superconformal algebra su(2,2;N), introducing in this way the non-relativistic (N=2k)-ext…
Cohomology of Filippov algebras and an analogue of Whitehead's lemma
Jose A. de Azcarraga, J. M Izquierdo
We show that two cohomological properties of semisimple Lie algebras also hold for Filippov (n-Lie) algebras, namely, that semisimple n-Lie algebras do not admit non-trivial centra…
The Magnus expansion and some of its applications
S. Blanes, F. Casas, J. A. Oteo +1
Approximate resolution of linear systems of differential equations with varying coefficients is a recurrent problem shared by a number of scientific and engineering areas, ranging…
Noncommutative space and the low-energy physics of quasicrystals
L. Monreal, P. Fernandez de Cordoba, A. Ferrando +1
We prove that the effective low-energy, nonlinear Schroedinger equation for a particle in the presence of a quasiperiodic potential is the potential-free, nonlinear Schroedinger eq…
Mapping the geometry of the E6 group
Fabio Bernardoni, Sergio L. Cacciatori, Bianca L. Cerchiai +1
In this paper we present a construction for the compact form of the exceptional Lie group E6 by exponentiating the corresponding Lie algebra e6, which we realize as the the sum of…
Generating Operators of the Krasil'shchik-Schouten bracket
J. A. Vallejo
It is proved that given a divergence operator on the structural sheaf of graded commutative algebras of a supermanifold, it is possible to construct a generating operator for the K…