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Varieties of pairs of nilpotent matrices annihilating each other

✍ Scribed by Jan Schröer


Publisher
European Mathematical Society
Year
2004
Tongue
English
Weight
307 KB
Volume
79
Category
Article
ISSN
0010-2571

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✍ Roberta Basili 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 321 KB

Given an n × n nilpotent matrix over an algebraically closed field K, we prove some properties of the set of all the n × n nilpotent matrices over K which commute with it. Then we give a proof of the irreducibility of the variety of all the pairs (A, B) of n × n nilpotent matrices over K such that [