JournalscmhVol. 79, No. 2pp. 396–426

Varieties of pairs of nilpotent matrices annihilating each other

  • Jan Schröer

    University of Leeds, UK
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Abstract

We classify the irreducible components of the varieties

\V(n,a,b)={(A,B)∈\Mn(\field)×\Mn(\field)∣AB=BA=Aa=Bb=0}.\V(n,a,b) = \{ (A,B) \in \M_n(\field) \times \M_n(\field) \mid AB = BA = A^a = B^b = 0 \}.

Cite this article

Jan Schröer, Varieties of pairs of nilpotent matrices annihilating each other. Comment. Math. Helv. 79 (2004), no. 2, pp. 396–426

DOI 10.1007/S00014-003-0788-3