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 [
The variety of pairs of commuting nilpotent matrices is irreducible
✍ Scribed by V. Baranovsky
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 2001
- Tongue
- English
- Weight
- 374 KB
- Volume
- 6
- Category
- Article
- ISSN
- 1083-4362
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