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Author de Azcarraga, J.A.; Izquierdo, J.M. url  doi
openurl 
  Title k-Leibniz algebras from lower order ones: From Lie triple to Lie l-ple systems Type Journal Article
  Year 2013 Publication Journal of Mathematical Physics Abbreviated Journal J. Math. Phys.  
  Volume 54 Issue 9 Pages 093510 - 14pp  
  Keywords  
  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.  
  Address  
  Corporate Author Thesis  
  Publisher (up) Place of Publication Editor  
  Language Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0022-2488 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000325407300032 Approved no  
  Is ISI yes International Collaboration no  
  Call Number IFIC @ pastor @ Serial 1618  
Permanent link to this record
 
 
Author de Azcarraga, J.A.; Izquierdo, J.M.; Picon, M. url  doi
openurl 
  Title Contractions of Filippov algebras Type Journal Article
  Year 2011 Publication Journal of Mathematical Physics Abbreviated Journal J. Math. Phys.  
  Volume 52 Issue 1 Pages 013516 - 24pp  
  Keywords  
  Abstract We introduce in this paper the contractions B-c of n-Lie (or Filippov) algebras B and show that they have a semidirect structure as their n = 2 Lie algebra counterparts. As an example, we compute the nontrivial contractions of the simple A(n+1) Filippov algebras. By using the. Inonu-Wigner and the generalized Weimar-Woods contractions of ordinary Lie algebras, we compare (in the B = A(n+1) simple case) the Lie algebras Lie B-c (the Lie algebra of inner endomorphisms of B-c) with certain contractions (Lie B)(IW) and (Lie B)(W-W) of the Lie algebra Lie B associated with B.  
  Address [de Azcarraga, Jose A.; Picon, Moises] Univ Valencia, Dept Theoret Phys, E-46100 Valencia, Spain, Email: j.a.de.azcarraga@ific.uv.es  
  Corporate Author Thesis  
  Publisher (up) Amer Inst Physics Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0022-2488 ISBN Medium  
  Area Expedition Conference  
  Notes ISI:000286898400034 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ pastor @ Serial 574  
Permanent link to this record
 
 
Author de Azcarraga, J.A.; Izquierdo, J.M. url  doi
openurl 
  Title On a class of n-Leibniz deformations of the simple Filippov algebras Type Journal Article
  Year 2011 Publication Journal of Mathematical Physics Abbreviated Journal J. Math. Phys.  
  Volume 52 Issue 2 Pages 023521 - 13pp  
  Keywords  
  Abstract We study the problem of infinitesimal deformations of all real, simple, finite-dimensional Filippov (or n-Lie) algebras, considered as a class of n-Leibniz algebras characterized by having an n-bracket skewsymmetric in its n-1 first arguments. We prove that all n > 3 simple finite-dimensional Filippov algebras (FAs) are rigid as n-Leibniz algebras of this class. This rigidity also holds for the Leibniz deformations of the semisimple n = 2 Filippov (i.e., Lie) algebras. The n = 3 simple FAs, however, admit a nontrivial one-parameter infinitesimal 3-Leibniz algebra deformation. We also show that the n >= 3 simple Filippov algebras do not admit nontrivial central extensions as n-Leibniz algebras of the above class.  
  Address [de Azcarraga, Jose A.] Univ Valencia, Dept Theoret Phys, E-46100 Burjassot, Valencia, Spain, Email: j.a.de.azcarraga@ific.uv.es  
  Corporate Author Thesis  
  Publisher (up) Amer Inst Physics Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0022-2488 ISBN Medium  
  Area Expedition Conference  
  Notes ISI:000287811800050 Approved no  
  Is ISI yes International Collaboration no  
  Call Number IFIC @ pastor @ Serial 558  
Permanent link to this record
 
 
Author de Azcarraga, J.A.; Kamimura, K.; Lukierski, J. url  doi
openurl 
  Title Generalized cosmological term from Maxwell symmetries Type Journal Article
  Year 2011 Publication Physical Review D Abbreviated Journal Phys. Rev. D  
  Volume 83 Issue 12 Pages 124036 - 8pp  
  Keywords  
  Abstract By gauging the Maxwell spacetime algebra, the standard geometric framework of Einstein gravity with cosmological constant term is extended by adding six four-vector fields A(mu)(ab)(x) associated with the six Abelian tensorial charges in the Maxwell algebra. In the simplest Maxwell extension of Einstein gravity this leads to a generalized cosmological term that includes a contribution from these vector fields. We also consider going beyond the basic gravitational model by means of bilinear actions for the new Abelian gauge fields. Finally, an analogy with the supersymmetric generalization of gravity is indicated. In an appendix, we propose an equivalent description of the model in terms of a shift of the standard spin connection by the A(mu)(ab)(x) fields.  
  Address [de Azcarrraga, Jose A.] Univ Valencia, Dept Theoret Phys, E-46100 Burjassot, Valencia, Spain  
  Corporate Author Thesis  
  Publisher (up) Amer Physical Soc Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 1550-7998 ISBN Medium  
  Area Expedition Conference  
  Notes ISI:000291936200003 Approved no  
  Is ISI yes International Collaboration yes  
  Call Number IFIC @ elepoucu @ Serial 662  
Permanent link to this record
 
 
Author de Azcarraga, J.A.; Gutiez, D.; Izquierdo, J.M. url  doi
openurl 
  Title Extended D=3 Bargmann supergravity from a Lie algebra expansion Type Journal Article
  Year 2019 Publication Nuclear Physics B Abbreviated Journal Nucl. Phys. B  
  Volume 946 Issue Pages 114706 - 14pp  
  Keywords  
  Abstract In this paper we show how the method of Lie algebra expansions may be used to obtain, in a simple way, both the extended Bargmann Lie superalgebra and the Chern-Simons action associated to it in three dimensions, starting from D = 3, N = 2 superPoincare and its corresponding Chern-Simons supergravity. (C) 2019 The Author(s). Published by Elsevier B.V.  
  Address [de Azcarraga, J. A.] CSIC UVEG, Dept Fis Teor, Valencia 46100, Spain, Email: azcarrag@ific.uv.es;  
  Corporate Author Thesis  
  Publisher (up) Elsevier Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 0550-3213 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000487935600012 Approved no  
  Is ISI yes International Collaboration no  
  Call Number IFIC @ pastor @ Serial 4156  
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