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Hyperbolic involutions and quadratic extensions

Mahmoudi, M. G ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.1080/00927870903431258
  3. Abstract:
  4. 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
  5. Keywords:
  6. Central simple algebra ; Hermitian form ; Hyperbolic involution
  7. Source: Communications in Algebra ; Volume 39, Issue 1 , Jan , 2011 , Pages 125-132 ; 00927872 (ISSN)
  8. URL: http://www.tandfonline.com/doi/abs/10.1080/00927870903431258