Hyperbolic Involutions and Quadratic Extensions |
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Authors: | M G Mahmoudi |
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Institution: | 1. Department of Mathematical Sciences , Sharif University of Technology , Tehran, Iran mmahmoudi@sharif.ir |
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Abstract: | This is a variation on a theme of Bayer-Fluckiger, Shapiro, and Tignol related to hyperbolic involutions. More precisely, criteria for the hyperbolicity of involutions of quadratic extensions of simple algebras and involutions of the form σ ? τ and σ ? ρ, where σ is an involution of a central simple algebra A, τ is the nontrivial automorphism of a quadratic extension of the center of A, and ρ is an involution of a quaternion algebra are obtained. |
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Keywords: | Central simple algebra Hermitian form Hyperbolic involution |
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