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Uncolouring of Lie colour algebras

Published online by Cambridge University Press:  17 April 2009

D. S. McAnally  and
A. J. Brakcen
D. S. McAnally
Affiliation:
Department of Mathematics, The University of Queensland, Queensland 4072Australia
A. J. Brakcen
Affiliation:
Department of Mathematics, The University of Queensland, Queensland 4072Australia
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The link between a Lie colour algebra and a corresponding Lie superalgebra is clarified in the case of the general linear algebras. The Lie superalgebra inherits from the colour cocommutative coproduct of the corresponding Lie colour algebra, a super coproduct which differs from the usual one, and is not supercocommutative. It is associated with a new R-matrix satisfying the super Yang-Baxter equation.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 3 , June 1997 , pp. 425 - 452
Copyright
Copyright © Australian Mathematical Society 1997

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