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On varieties of commuting nilpotent matrices

✍ Scribed by Ngo, Nham V.; Šivic, Klemen


Book ID
122268373
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
414 KB
Volume
452
Category
Article
ISSN
0024-3795

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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 [