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1. On the Second Trace Form of Biquaternion Algebras with Involution

Author

A.-H. Nokhodkar

Subjects
Involution (mathematics), Biquaternion, Pure mathematics, Mathematics::Rings and Algebras, 010102 general mathematics, Mathematics::Mathematical Physics, Pharmacology (medical), 010103 numerical & computational mathematics, 0101 mathematics, 01 natural sciences, Symplectic geometry, Mathematics
Abstract

The second trace form of biquaternion algebras with involution of the first kind is investigated. It is shown that how this form is related to the pfaffians of these algebras with involution. As an application, a classification of biquaternion algebras with symplectic and decomposable orthogonal involution, in terms of their second trace form, is obtained.

Published
2018

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