Commuting nilpotent matrices and Artinian algebras
نویسندگان
چکیده
منابع مشابه
On Pairs of Commuting Nilpotent Matrices
Let B be a nilpotent matrix and suppose that its Jordan canonical form is determined by a partition λ. Then it is known that its nilpotent commutator NB is an irreducible variety and that there is a unique partition μ such that the intersection of the orbit of nilpotent matrices corresponding to μ with NB is dense in NB. We prove that map D given by D(λ) = μ is an idempotent map. This answers a...
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ژورنال
عنوان ژورنال: Journal of Commutative Algebra
سال: 2010
ISSN: 1939-2346
DOI: 10.1216/jca-2010-2-3-295