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THE GENERALIZED WITT MODULAR LIE SUPERALGEBRA OF CARTAN TYPE

Part of: Lie algebras and Lie superalgebras

Published online by Cambridge University Press:  18 November 2011

YAN-QIN DONG ,
YONG-ZHENG ZHANG  and
ANGELO EBONZO
YAN-QIN DONG*
Affiliation:
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, PR China Aviation University of Air Force, Changchun 130022, Jilin, PR China (email: dongyq384@nenu.edu.cn)
YONG-ZHENG ZHANG
Affiliation:
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin, PR China (email: zhyz@nenu.edu.cn)
ANGELO EBONZO
Affiliation:
Transportation Management College, Dalian Maritime University, Dalian 116026, PR China (email: angedan2000@yahoo.fr)
*
✉For correspondence; e-mail: dongyq384@nenu.edu.cn
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Abstract

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We construct the generalized Witt modular Lie superalgebra of Cartan type. We give a set of generators for and show that is an extension of a subalgebra of by an ideal . Finally, we describe the homogeneous derivations of Z-degree of and we determine the derivation superalgebra of .

Keywords

modular Lie superalgebrasZ-graded Lie superalgebrasderivation superalgebras

MSC classification

Secondary: 17B50: Modular Lie (super)algebras

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 91 , Issue 2 , October 2011 , pp. 145 - 162
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

This work was supported by National Science Foundation of China Funded Projects (Nos. 10871057 and 10701019).

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