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Let Ln Kn3 be the affine variety of all n-dimensional Lie algebras over an algebraically closed field of characteristic zero. An element g 2 Ln can be identified with the bilinear mapping ? defining the multiplication in g. If f is an element o[...]texto impreso
Using the formalism of symplectic group actions and coadjoint orbits, we give a complete list of all classical simple Lie algebras which are local symmetries for a given Hamiltonian vector field.texto impreso
An integrodifferential Dirac equation in one space dimension is proposed, such that there is a close correspondence between its solutions and a subset of those of the sine-Gordon equation. It has solitonic solutions, quantized charge and positiv[...]texto impreso
New developments in mobile communication technology lead to substantial increases in the retrial phenomenon and its effect on the quality of service (QoS). One aspect of this problem is considered in this paper, where we investigate the distribu[...]texto impreso
Let G be a Lie group and let L:TG?R be a Lagrangian invariant under the natural action of G on its tangent bundle. Then L induces a function l:(TG)/G?g?R called the reduced Lagrangian, g being the Lie algebra of G. As is well known, the Euler-La[...]texto impreso
In this paper we survey on aggregation operators and in particular hierarchies of them. As a case study, we will analyze the problems of the aggregation of truth values of fuzzy predicates and the aggregation of individual opinions into a single[...]texto impreso
We study the b-completion of the three Friedmann models of the Universe, having as models for 3-space the sphere, the Euclidean space or the hyperbolic space. We show that in the first case there is just one singularity, having the full completi[...]texto impreso
Gambi, J.M. ; Zamorano, P. ; Romero Pérez, Mª Pilar ; García del Pino, M.L. | Kluwer Academic | 1996The orbital motion of test particles about a central body at rest is described in terms of a coordinate system that, unlike the usual coordinates, can be materialized by a proper (Fermi) reference frame with origin located at the body's centre w[...]texto impreso
The author gives a method for the construction of solvable rigid Lie algebras in the varieties defined by Jacobi's identities. His method does not use tables of nilpotent Lie algebras and the rigidity is not obtained by usual cohomological crite[...]texto impreso
The work of Adler provides necessary and sufficient conditions for the Wronskian of a given sequence of eigenfunctions of Schrodinger's equation to have constant sign in its domain of definition. We extend this result by giving explicit formulas[...]texto impreso
We give, using an explicit expression obtained in (Jones V, Ann Math 126:335, 1987), a basic hypergeometric representation of the HOMFLY polynomial of (n, m) torus knots, and present a number of equivalent expressions, all related by Heine’s tra[...]
