The Variety of Pairs of Matrices with $\operatorname{rank}(AB - BA) \leq 1$

Bibliographic Details
Authors and Corporations: Neubauer, Michael G.
Title: The Variety of Pairs of Matrices with $\operatorname{rank}(AB - BA) \leq 1$
In: Proceedings of the American Mathematical Society, 105, 1989, 4, p. 787-792
published:
American Mathematical Society
Physical Description:787-792
ISSN/ISBN: 1088-6826
0002-9939
Summary:<p>We will show that the variety of pairs of $n \times n$ matrices over an algebraically closed field with rank one commutator consists of $n - 1$ irreducible components each of dimension $n^2 + 2n - 1$.</p>
Type of Resource:E-Article
Source:JSTOR Arts & Sciences I Archive
Language: English