; TeX output 2000.04.10:1603 y i N G cmbx12Onhermitiantraceformsouverhilb =ertianelds N cmbx12Grqegory Berh uy K`y cmr10U.M.R.6623UUduC.N.R.S.,LabGodeMaths,Bureau401M,16routedeGray*, F-25030UUBesan9con,F*rance (e-mail:qbGerhuy@math.univ-fcomte.fr) "V cmbx10Abstract:Let b> cmmi10k*bGeaeldofcharacteristicdierentfrom2.?LetE =k*bGeaniteseparable extensionfXwithakP-linearinvolutionfX[ٲ.F*orevery-symmetricelements !", cmsy102E ^O! cmsy7,q,jwefXdene aR ': cmti10hermitiansc}'aledtraceformwbyRx2EZ7!T*r Q: 0er cmmi7Eb}=k[2(xx^b).pIf=1,Ritiscalledahermitian tr}'ace