Arithmetic Witt-hom-Lie algebras
Larsson, Daniel
J. Gen. Lie Theory Appl., Tome 3 (2009) no. 3, p. 297-310 / Harvested from Project Euclid
This paper is concerned with explaining and further developing the rather technical definition of a hom-Lie algebra given in a previous paper which was an adaption of the ordinary definition to the language of number theory and arithmetic geometry. To do this we here introduce the notion of Witt-hom-Lie algebras and give interesting arithmetic applications, both in the Lie algebra case and in the hom-Lie algebra case. The paper ends with a discussion of a few possible applications of the developed hom-Lie language.
Publié le : 2009-12-15
Classification:  Nonassociative rings,  Lie algebras,  Lie superalgebras,  Algebraic geometry,  Arithmetic problems,  Elliptic curves,  Arithmetic algebraic geometry,  17B99,  14G99,  11G05,  11R99,  13F99
@article{1281106597,
     author = {Larsson, Daniel},
     title = {Arithmetic Witt-hom-Lie algebras},
     journal = {J. Gen. Lie Theory Appl.},
     volume = {3},
     number = {3},
     year = {2009},
     pages = { 297-310},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1281106597}
}
Larsson, Daniel. Arithmetic Witt-hom-Lie algebras. J. Gen. Lie Theory Appl., Tome 3 (2009) no. 3, pp.  297-310. http://gdmltest.u-ga.fr/item/1281106597/