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Derivations and invariant forms of Jordan and alternative tori |
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| Authors: | Erhard Neher Yoji Yoshii |
| Affiliation: | Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario K1N 6N5, Canada ; Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta T6G 2G1, Canada |
| Abstract: | Jordan and alternative tori are the coordinate algebras of extended affine Lie algebras of types  and  . In this paper we show that the derivation algebra of a Jordan torus is a semidirect product of the ideal of inner derivations and the subalgebra of central derivations. In the course of proving this result, we investigate derivations of the more general class of division graded Jordan and alternative algebras. We also describe invariant forms of these algebras. |
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