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On the variety of almost commuting nilpotent matrices

✍ Scribed by Eliana Zoque


Publisher
SP Birkhäuser Verlag Boston
Year
2010
Tongue
English
Weight
435 KB
Volume
15
Category
Article
ISSN
1083-4362

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On the irreducibility of commuting varie
✍ 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 [