; TeX output 2013.05.23:2115 6html: html:f荍t
덑
html: html:* .C##N cmbx12HERMITIANٚF ORMSOVERQUA TERNIONALGEBRAS T&JK`y
cmr10NIKIT*AUUA.KARPENKOANDALEXANDERS.MERKURJEV `$ !-
cmcsc10Abstract.\`W*eŏstudyŎahermitianform
b>
cmmi10hoveraŏquaterniondivisionalgebraQoverŏa $ eld(hissuppGosedtobealternatingifthecharacteristicoftheeldis2).^F*orgeneric$ hW:andW9Q,Wforanyintegeri?
!",
cmsy102@[1;tn=2],Wwheren:=@dimt 0er cmmi7Qѵh,WweW9showthatW9thevqarietyW9ofi-$ dimensional(overQ)totallyisotropicrightsubspacesofhis2-incompressible.8 TheproGof$ isbasedonacomputationoftheChowringfortheclassifyingspaceofacertainparabGolic$ subgroupqinasplitqsimpleadjointanealgebraicgroupoftypGeCnq~.Asanapplication,$ wedeterminethesmallestvqalueoftheJ 9-invqariantofanon-degeneratequadraticform$ divisiblebbyca2-foldPsterform;iwealsodeterminethebiggestvqaluesofthecanonical$ dimensionsUUoftheorthogonalGrassmanniansassoGciatedtosuchquadraticforms. Ƌ html: html: