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13.
A variety of commuting triples
Omladič, Matjaž
Problem aproksimacije komutirajočih matrik velikosti ▫$n \times n$▫ z generičnimi matrikami je ekvivalenten s problemom, ali je raznoterost ▫$C(3,n)$▫ komutirajočih trojic nerazcepna. Kot je znano, ...je odgovor na to vprašanje pozitiven v primeru razsežnosti ne več kot 5 in ne manj kot 30. Z uporabo sočasne komutativne perturbacije para matrik v centralizatorju tretje nam uspe pokazati, da je odgovor pozitiven tudi v razsežnosti 6. Vse dokaze podamo v poljubnem algebraično zaprtem obsegu karakteristike 0.
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