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Isomorphism of Some Simple 2-Graded Lie Algebras

Published online by Cambridge University Press:  20 November 2018

Dragomir Ž. Djoković
Dragomir Ž. Djoković*
Affiliation:
University of Waterloo, Waterloo, Ontario
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Abstract

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The grading is by integers modulo 2 and we refer to it as 2-grading. For the definition of 2-graded Lie algebras L and their properties we refer the reader to the papers [1; 2; 3]. All algebras considered here are finite-dimensional over a field F of characteristic zero.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 29 , Issue 2 , 01 April 1977 , pp. 289 - 294
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Djokovic, D. Z., Classification of some 2-graded Lie algebras, J. Pure and Applied Algebra 7 (1976), 217–230.Google Scholar
2. Djokovic, D. Z. and Hochschild, G., Semi-simplicity of 2-graded Lie algebras II, Illinois J. Math. 20 (1976), 134–143.Google Scholar
3. Hochschild, G., Semi-simplicity of 2-graded Lie algebras, Illinois J. Math. 20 (1976), 107–123.Google Scholar
4. Kac, V. G., Classification of simple Lie superalgebras, Functional Analysis and its Applications 9 (1975), 91–92 (Russian).Google Scholar