alexa Arithmetic Witt-hom-Lie algebras
ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Research Article

Arithmetic Witt-hom-Lie algebras

Daniel LARSSON*

Hφgskolen i Oslo, Pb 4, St. Olavs plass, 0130 Oslo, Norway

*Corresponding Author:
Daniel LARSSON
Hφgskolen i Oslo, Pb 4, St. Olavs plass, 0130 Oslo, Norway
E-mail:
[email protected]

Received Date: June 17, 2009; Revised Date: September 20, 2009

 

Abstract

This paper is concerned with explaining and further developing the rather technical de nition of a hom-Lie algebra given in a previous paper which was an adaption of the ordinary de nition 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.

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