Open Access
December 2009 Arithmetic Witt-hom-Lie algebras
Daniel Larsson
J. Gen. Lie Theory Appl. 3(4): 297-310 (December 2009). DOI: 10.4303/jglta/S090403


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.


Download Citation

Daniel Larsson. "Arithmetic Witt-hom-Lie algebras." J. Gen. Lie Theory Appl. 3 (4) 297 - 310, December 2009.


Published: December 2009
First available in Project Euclid: 6 August 2010

zbMATH: 1231.17023
MathSciNet: MR2602992
Digital Object Identifier: 10.4303/jglta/S090403

Primary: 11G05 , 11R99 , 13F99 , 14G99 , 17B99

Keywords: Algebraic Geometry , Arithmetic algebraic geometry , Arithmetic problems , Elliptic curves , Lie algebras , Lie superalgebras , Nonassociative rings

Rights: Copyright © 2009 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.3 • No. 4 • December 2009
Back to Top