CONSTRUCTION OF LIE SUPERALGEBRAS FROM SOME TRIPLE SYSTEMS

Noriaki Kamiya; Susumu Okubo

doi:10.1017/S0013091501000876

Abstract

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We have constructed Lie superalgebras $D(2,1;\alpha)$, $G(3)$ and $F(4)$ from $U(-1,-1)$-balanced Freudenthal–Kantor triple systems in a natural way.

AMS 2000 Mathematics subject classification: Primary 17A40; 17B60

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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Article contents

CONSTRUCTION OF LIE SUPERALGEBRAS $D(2,1;\alpha)$,\$G(3)$ AND $F(4)$ FROM SOME TRIPLE SYSTEMS

Abstract

Keywords

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

CONSTRUCTION OF LIE SUPERALGEBRAS $D(2,1;\alpha)$,\$G(3)$ AND $F(4)$ FROM SOME TRIPLE SYSTEMS

Abstract

Keywords

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