Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrix
نویسندگان
چکیده
منابع مشابه
The upper bound for the index of nilpotency for a matrix commuting with a given nilpotent matrix
We consider the following problem: What are possible sizes of Jordan blocks for a pair of commuting nilpotent matrices? Or equivalently, for which pairs of nilpotent orbits of matrices (under similarity) there exists a pair of matrices, one from each orbit, that commute. The answer to the question could be considered as a generalization of Gerstenhaber– Hesselink theorem on the partial order of...
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2013
ISSN: 0925-9899,1572-9192
DOI: 10.1007/s10801-013-0433-1