On the irreducibility of varieties of commuting matrices

DOI10.1016/S0022-4049(99)00027-4zbMath0955.15005WikidataQ128089789 ScholiaQ128089789MaRDI QIDQ1570810

Roberta Basili

Publication date: 19 February 2001

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Lie algebraJordan canonical formirreduciblecommuting matrixvariety of antisymmetric matricesvariety of symmetric matrices

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Commutativity of matrices (15A27) Algebraic systems of matrices (15A30)

Related Items (7)

On the maximal nilpotent orbit that intersects the centralizer of a matrix ⋮ The central simple modules of Artinian Gorenstein algebras ⋮ On the irreducibility of commuting varieties of nilpotent matrices ⋮ Commuting varieties of \(r\)-tuples over Lie algebras. ⋮ Pairs of commuting nilpotent matrices, and Hilbert function ⋮ Stickelberger elements, Fitting ideals of class groups of CM-fields, and dualisation ⋮ Maximal subalgebras of finite-dimensional algebras

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