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A construction of simple Lie subalgebras of certain types from triple systems

Published online by Cambridge University Press:  17 April 2009

Noriaki Kamiya  and
Susumu Okubo
Noriaki Kamiya
Affiliation:
Department of Mathematics, The University of Aizu, Aizu-Wakamatsu 965-8580, Fukushima, Japan e-mail: kamiya@u-aizu.ac.jp
Susumu Okubo
Affiliation:
Department of Physics and Astronomy, The University of Rochester, Rochester, N.Y. 14627, United States of America, e-mail: okubo@pas.rochester.edu
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We have constructed all simple Lie superalgebras from some triple systems. In particular, we shall discuss simple Lie superalgebras of P(n), Q(n) and Cartan types W(n), S(n), H(n) in this article.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 69 , Issue 1 , February 2004 , pp. 113 - 123
Copyright
Copyright © Australian Mathematical Society 2004

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