Abstract
Automorphisms of order 2 are studied in order to understand generalized symmetric spaces. The groups of type E6 we consider here can be realized as both the group of linear maps that leave a certain determinant invariant, and also as the identity component of the automorphism group of a class of structurable algebras known as Brown algebras. We will classify the k-involutions of these groups of type E6 using aspects of both descriptions, and give detailed descriptions of representatives over certain fields including algebraically closed fields, R, Fp, and Qp.
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Schedule a callMore From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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