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Lie superautomorphisms on associative algebras
2009
Proceedings of the American Mathematical Society
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The results on Lie homomorphisms of associative algebras are extended to certain associative superalgebras. It is shown that under appropriate conditions a Lie superautomorphism of A = A 0 ⊕ A 1 is a sum of a superautomorphism or the negative of a superantiautomorphism and a central map. In particular we consider the situation when A is a central simple algebra and its Z 2 -grading is induced by an idempotent.
doi:10.1090/s0002-9939-09-10136-3
fatcat:ysn7eitrwretnohtggr423cio4