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Quadratic descent of hermitian forms

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  • A.‐H. Nokhodkar

Abstract

Quadratic descent of hermitian and skew hermitian forms over division algebras with involution of the first kind in arbitrary characteristic is investigated and a criterion, in terms of systems of quadratic forms, is obtained. A refined result is also obtained for hermitian (resp. skew hermitian) forms over a quaternion algebra with symplectic (resp. orthogonal) involution.

Suggested Citation

  • A.‐H. Nokhodkar, 2019. "Quadratic descent of hermitian forms," Mathematische Nachrichten, Wiley Blackwell, vol. 292(10), pages 2294-2299, October.
    • Handle: RePEc:bla:mathna:v:292:y:2019:i:10:p:2294-2299
    DOI: 10.1002/mana.201800429
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    1. A.‐H. Nokhodkar, 2020. "Erratum to the paper “Quadratic descent of hermitian forms”: (Published in Math. Nachr. 292 (2019), no. 10, 2294–2299)," Mathematische Nachrichten, Wiley Blackwell, vol. 293(9), pages 1836-1838, September.

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