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Author |
de Azcarraga, J.A.; Izquierdo, J.M. |
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Title |
k-Leibniz algebras from lower order ones: From Lie triple to Lie l-ple systems |
Type |
Journal Article |
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Year |
2013 |
Publication |
Journal of Mathematical Physics |
Abbreviated Journal |
J. Math. Phys. |
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Volume |
54 |
Issue |
9 |
Pages |
093510 - 14pp |
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Abstract |
Two types of higher order Lie l-ple systems are introduced in this paper. They are defined by brackets with l > 3 arguments satisfying certain conditions, and generalize the well-known Lie triple systems. One of the generalizations uses a construction that allows us to associate a (2n – 3)-Leibniz algebra pound with a metric n-Leibniz algebra () pound over tilde by using a 2(n – 1)-linear Kasymov trace form for () pound over tilde. Some specific types of k-Leibniz algebras, relevant in the construction, are introduced as well. Both higher order Lie l-ple generalizations reduce to the standard Lie triple systems for l = 3. |
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0022-2488 |
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WOS:000325407300032 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
1618 |
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Author |
de Azcarraga, J.A. |
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Title |
The new Spanish educational legislation: why public education will not improve |
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Journal Article |
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Year |
2022 |
Publication |
Revista Española de Pedagogía |
Abbreviated Journal |
Rev. Esp. Pedagog. |
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Volume |
80 |
Issue |
281 |
Pages |
111-129 |
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Keywords |
Forthcoming Spanish educational legislation; primary school; secondary education; universities |
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Abstract |
This paper provides some reasons that explain, in the view of the author, why the present eagerness of the Spanish Educational Authorities to reform all levels of education, from primary school to the universities, will not improve the quality of the Spanish educational system. |
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Address |
[Adolfo de Azcarraga, Jose] Univ Valencia, Fis Teor, Valencia, Spain, Email: j.a.de.azcarraga@ific.uv.es |
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Univ Int Rioja-Unir |
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Spanish |
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ISSN |
0034-9461 |
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Notes |
WOS:000752024500007 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
5125 |
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Author |
Bandos, I.A.; de Azcarraga, J.A.; Meliveo, C. |
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Title |
Conformal higher spin theory in extended tensorial superspace |
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Journal Article |
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Year |
2012 |
Publication |
Fortschritte der Physik-Progress of Physics |
Abbreviated Journal |
Fortschritte Phys.-Prog. Phys. |
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Volume |
60 |
Issue |
7-8 |
Pages |
861-867 |
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Keywords |
Higher spin theory; conformal symmetry; superfields; tensorial superspaces |
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Abstract |
We discuss the formulation of free conformal higher spin theories with extended N = 2, 4, 8 supersymmetry in N-extended tensorial superspaces. The superfield higher spin equations can be obtained by quantizing a superparticle model in N-extended tensorial superspace. The N-extended higher spin supermultiplets just contain scalar and spinor fields in tensorial space so that, in contrast with the standard (super)space approach, no nontrivial generalizations of the Maxwell or Einstein equations to tensorial space appear when N > 2. For N = 4, 8, the higher spin-tensorial components of the extended tensorial superfields are expressed through additional scalar and spinor fields in tensorial space which obey the same free higher spin equations, but that are axion-like in the sense that they possess Peccei-Quinn-like symmetries. |
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[Bandos, Igor A.; Meliveo, Carlos] Univ Basque Country UPV EHU, Dept Theoret Phys, Bilbao 48080, Spain, Email: carlos_meliveo@ehu.es |
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Wiley-V C H Verlag Gmbh |
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English |
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ISSN |
0015-8208 |
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Notes |
WOS:000306357900010 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
1095 |
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Author |
Camarero, D.; de Azcarraga, J.A.; Izquierdo, J.M. |
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Title |
Bosonic D=11 supergravity from a generalized Chern-Simons action |
Type |
Journal Article |
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Year |
2017 |
Publication |
Nuclear Physics B |
Abbreviated Journal |
Nucl. Phys. B |
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Volume |
923 |
Issue |
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Pages |
633-652 |
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Abstract |
It is shown that the action of the bosonic sector of D= 11supergravity may be obtained by means of a suitable scaling of the originally dimensionless fields of a generalized Chern-Simons action. This follows from the eleven-form CS-potential of the most general linear combination of closed, gauge invariant twelve-forms involving the sp(32)-valued two-form curvatures supplemented by a three-form field. In this construction, the role of the skewsymmetric four-index auxiliary function needed for the first order formulation of D= 11supergravity is played by the gauge field associated with the five Lorentz indices generator of the bosonic sp(32) subalgebra of osp(1|32). |
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Address |
[Camarero, D.; Izquierdo, J. M.] Univ Valladolid, Dept Fis Teor, E-47011 Valladolid, Spain, Email: j.a.de.azcarraga@ific.uv.es |
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Elsevier Science Bv |
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English |
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ISSN |
0550-3213 |
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Notes |
WOS:000413405200028 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
3333 |
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Author |
de Azcarraga, J.A.; Izquierdo, J.M. |
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Title |
Minimal D=4 supergravity from the superMaxwell algebra |
Type |
Journal Article |
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Year |
2014 |
Publication |
Nuclear Physics B |
Abbreviated Journal |
Nucl. Phys. B |
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Volume |
885 |
Issue |
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Pages |
34-45 |
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Abstract |
We show that the first-order D = 4, N = 1 pure supergravity lagrangian four-form can be obtained geometrically as a quadratic expression in the curvatures of the Maxwell superalgebra. This is achieved by noticing that the relative coefficient between the two terms of the lagrangian that makes the action locally supersymmetric also determines trivial field equations for the gauge fields associated with the extra generators of the Maxwell superalgebra. Along the way, a convenient geometric procedure to check the local supersymmetry of a class of lagrangians is developed. |
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Address |
[de Azcarraga, J. A.] CSIC UVEG, Dept Fis Teor, Burjassot 46100, Valencia, Spain |
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Publisher |
Elsevier Science Bv |
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English |
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0550-3213 |
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Notes |
WOS:000339598300003 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
1857 |
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