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Symmetric Elements, Hermitian Forms, and Cyclic Involutions
- Source :
- Communications in Algebra. 43:4735-4744
- Publication Year :
- 2015
- Publisher :
- Informa UK Limited, 2015.
-
Abstract
- Let k be a field, K/k be a quadratic separable field extension, and 𝒜 a finite dimensional central simple algebra over K. If k is global or the field of fractions of a two-dimensional excellent henselian local domain with an algebraically closed residue field of characteristic zero and the degree of 𝒜 is odd, we prove that all K/k-involutions on 𝒜 are cyclic.
Details
- ISSN :
- 15324125 and 00927872
- Volume :
- 43
- Database :
- OpenAIRE
- Journal :
- Communications in Algebra
- Accession number :
- edsair.doi...........edb691b11bedcee43a86af7b92a818df