Matrix semigroup homomorphisms into higher dimensions
Kokol-Bukovšek, Damjana
V članku študiramo nedegenerirane ireducibilne homomorfizme iz multiplikativne polgrupe vseh ▫$n$▫-krat-▫$n$▫ matrik nad algebraično zaprtim obsegom karakteristike nič v polgrupo vseh ...▫$m$▫-krat-▫$m$▫ matrik nad istim obsegom. Dokažemo, da je vsak nedegeneriran homomorfizem iz multiplikativne polgrupe vseh ▫$n$▫-krat-▫$n$▫ matrik v polgrupo vseh ▫$(n+1)$▫-krat-▫$(n+1)$▫ matrik reducibilen, če je le ▫$n \ge 3$▫. Prav tako je reducibilen vsak nedegeneriran homomorfizem iz multiplikativne polgrupe vseh 3-krat-3 matrik v polgrupo vseh 5-krat-5 matrik.
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