[NIVEAU HERMITIEN D'UNE ALGEBRE DE QUATERNIONS A DIVISION MUNIE D'UNE INVOLUTION DE DEUXIEME ESPECE]

Serhir, A

doi:10.1081/AGB-120014657

[NIVEAU HERMITIEN D'UNE ALGEBRE DE QUATERNIONS A DIVISION MUNIE D'UNE INVOLUTION DE DEUXIEME ESPECE]

Serhir, A

(2002) Communications in Algebra — Vol. 30, n° 10, p. 4621-4627 (2002)

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Serhir, A
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Abstract

In this note we show that the hermitian level of a quaternion, division algebra with involution of second kind, is always a power of 2, when it is finite. This result holds for a field with trivial or non-trivial involution, and quaternion division algebras with involution of first kind([6,5,9]).

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UCLouvain

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Serhir, A. (2002). [NIVEAU HERMITIEN D’UNE ALGEBRE DE QUATERNIONS A DIVISION MUNIE D’UNE INVOLUTION DE DEUXIEME ESPECE]. Communications in Algebra, 30(10), 4621-4627. https://doi.org/10.1081/AGB-120014657 (Original work published 2002)