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On pairs of commuting nilpotent matrices

✍ Scribed by Tomaž Košir; Polona Oblak

Publisher
SP Birkhäuser Verlag Boston
Year
2009
Tongue
English
Weight
327 KB
Volume
14
Category
Article
ISSN
1083-4362

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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 [

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