Search Results - "Muñoz Masqué, Jaime"
-
1
Structure of Gauge-Invariant Lagrangians
Published in Mediterranean journal of mathematics (01-02-2020)“…The theory of gauge fields in Theoretical Physics poses several mathematical problems of interest in Differential Geometry and in Field Theory. Below, we…”
Get full text
Journal Article -
2
A Group Law on the Projective Plane with Applications in Public Key Cryptography
Published in Mathematics (Basel) (01-05-2020)“…In the context of new threats to Public Key Cryptography arising from a growing computational power both in classic and in quantum worlds, we present a new…”
Get full text
Journal Article -
3
The Square-Zero Basis of Matrix Lie Algebras
Published in Mathematics (Basel) (01-06-2020)“…A method is presented that allows one to compute the maximum number of functionally-independent invariant functions under the action of a linear algebraic…”
Get full text
Journal Article -
4
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
Published in Symmetry, integrability and geometry, methods and applications (01-01-2009)“…Two examples of Diff+S1-invariant closed two-forms obtained from forms on jet bundles, which does not admit equivariant moment maps are presented. The…”
Get full text
Journal Article -
5
A characterization of nonprime powers
Published in Turkish journal of mathematics (2017)Get full text
Journal Article -
6
Gauge-invariant characterization of Yang-Mills-Higgs equations
Published in Annales Henri Poincaré (01-02-2007)Get full text
Journal Article -
7
Cohen-Macaulay Modules of Infinite Projective Dimension
Published in Communications in algebra (01-06-2008)“…A characterization of finitely generated torsion modules of not necessarily finite projective dimension over a Cohen-Macaulay ring, is given in terms of the…”
Get full text
Journal Article -
8
Higher-order Utiyama–Yang–Mills Lagrangians
Published in Journal of geometry and physics (01-02-2007)“…In this article we classify higher-order gauge invariant Lagrangian densities on the bundle of connections of a principal G -bundle π : P → M , in the case…”
Get full text
Journal Article -
9
Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields
Published 16-06-2009“…SIGMA 5 (2009), 063, 7 pages Two examples of $\mathrm{Diff}^+S^1$-invariant closed two-forms obtained from forms on jet bundles, which does not admit…”
Get full text
Journal Article -
10
First-order invariants of differential 2-forms
Published 18-12-2018“…Let $M$ be a smooth manifold of dimension $2n$, and let $O_{M}$ be the dense open subbundle in $\wedge^{2}T^{\ast}M$ of $2$-covectors of maximal rank. The…”
Get full text
Journal Article -
11
Supersymmetric sigma models and harmonic superfunctions
Published 25-05-2018“…International Journal of Geometric Methods in Modern Physics 6 5 (2009) 839-849 We study the relation between the Laplacian associated to an odd metric on a…”
Get full text
Journal Article -
12
The Classification Problem for 2-Forms in Four Variables
Published 09-02-2018“…The notion of type of a differential 2-form in four variables is introduced and for 2-forms of type < 4, local normal models are given. If the type of a 2-form…”
Get full text
Journal Article -
13
Structure of Gauge-Invariant Lagrangians
Published 01-03-2019“…The theory of gauge fields in Theoretical Physics poses several mathematical problems of interest in Differential Geometry and in Field Theory. Below we tackle…”
Get full text
Journal Article -
14
The Poincar\'e-Cartan Form in Superfield Theory
Published 25-05-2018“…International Journal of Geometric Methods in Modern Physics 3 4 (2006) 775-822 An intrinsic description of the Hamilton-Cartan formalism for first-order…”
Get full text
Journal Article -
15
Invariants for the Lagrangian Equivalence Problem
Published 05-07-2017“…Let $M$ be a connected smooth manifold, let $\operatorname{Aut}(p)$ be the group automorphisms of the bundle $p\colon \mathbb{R}\times M\to \mathbb{R}$, and…”
Get full text
Journal Article -
16
Quadratic maps in two variables on arbitrary fields
Published in Carpathian Journal of Mathematics (01-01-2021)“…Let 𝔽 be a field of characteristic different from 2 and 3, and let V be a vector space of dimension 2 over 𝔽. The generic classification of homogeneous…”
Get full text
Journal Article -
17
Global characterization of variational first-order quasi-linear equations
Published in Reports on mathematical physics (01-08-2005)“…The global inverse problem of the calculus of variations for the particular case of first-order quasi-linear PDEs is solved. Some examples in the field theory…”
Get full text
Journal Article -
18
Integrability of the field equations of invariant variational problems on linear frame bundles
Published in Journal of geometry and physics (01-02-2004)“…The integrability of the Euler–Lagrange equations and the Jacobi fields of the natural basis of Lagrangian densities on the bundle of linear frames of a…”
Get full text
Journal Article -
19
Symplectic structure and reduction on the space of Riemannian metrics
Published in Geometriae dedicata (01-03-2008)“…The space of Riemannian metrics on an oriented compact manifold M of dimension n = 4 k − 2 is endowed with a canonical presymplectic structure and a moment…”
Get full text
Journal Article -
20
Gauge invariance and variational trivial problems on the bundle of connections
Published in Differential geometry and its applications (01-09-2003)“…Given a principal bundle P→ M we classify all first order Lagrangian densities on the bundle of connections associated to P that are invariant under the Lie…”
Get full text
Journal Article