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Author (up) de Azcarraga, J.A.; Izquierdo, J.M.
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 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
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Author (up) de Azcarraga, J.A.; Izquierdo, J.M.
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 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 (up) de Azcarraga, J.A.; Izquierdo, J.M.; Picon, M.
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 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
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Author (up) Greynat, D.; Sesma, J.; Vulvert, G.
Title Derivatives of the Pochhammer and reciprocal Pochhammer symbols and their use in epsilon-expansions of Appell and Kampe de Feriet functions Type Journal Article
Year 2014 Publication Journal of Mathematical Physics Abbreviated Journal J. Math. Phys.
Volume 55 Issue 4 Pages 043501 - 16pp
Keywords
Abstract Useful expressions of the derivatives, to any order, of Pochhammer and reciprocal Pochhammer symbols with respect to their arguments are presented. They are building blocks of a procedure, recently suggested, for obtaining the e-expansion of functions of the hypergeometric class related to Feynman integrals. The procedure is applied to some examples of such kind of functions taken from the literature.
Address [Greynat, David] Ist Nazl Fis Nucl, Dipartimento Fis, Sez Napoli, I-80126 Naples, Italy, Email: david.greynat@gmail.com;
Corporate Author Thesis
Publisher 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 WOS:000336084100030 Approved no
Is ISI yes International Collaboration yes
Call Number IFIC @ pastor @ Serial 1799
Permanent link to this record