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Local and global reducibility of spaces of nilpotent matrices
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Raziskujemo zvezo med lokalno in globalno razcepnostjo prostorov nilpotentnih matrik. Z lokalno razcepnostjo označujemo pogoj, da so majhni podprostori danega nerazcepnega vektorskega prostora ...▫$\mathcal{L}\subseteq M_n(\mathbb{C})$▫ razcepni. Eden naših glavnih rezultatov pove, da za določena števila ▫$m$▫, odvisna od ▫$n$▫, obstaja ▫$(m+1)$▫-razsežen prostor ▫$\mathcal{L}$▫, ki je nerazcepen, vsak od njegovih ▫$m$▫-razsežnih podprostorov, pa je ne le razcepen, ampak celo trikotljiv.
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