Journal of Algebraic Geometry

Journal of Algebraic Geometry

Online ISSN 1534-7486; Print ISSN 1056-3911



Two results on equations of nilpotent orbits

Author: Jerzy Weyman
Journal: J. Algebraic Geom. 11 (2002), 791-800
Published electronically: June 17, 2002
MathSciNet review: 1910987
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Abstract | References | Additional Information

Abstract: Let $\Phi$ be a generic $n\times n$ matrix over a field $K$ of characteristic zero. In this note I find the set of minimal generators of the ideal generated by the entries of the matrix $\Phi^e $ and by the coefficients of the characteristic polynomial of $\Phi$. In particular, I show that this ideal is reduced. For $e=2$ the result is characteristic free.

References [Enhancements On Off] (What's this?)

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Additional Information

Jerzy Weyman
Affiliation: Department of Mathematics, Northeastern University, Boston, Massachusetts 02115-5096

Received by editor(s): August 30, 2000
Published electronically: June 17, 2002
Additional Notes: Supported by NSF grant DMS 9700884

Journal of Algebraic Geometry
The Journal of Algebraic Geometry
is sponsored by the Department of Mathematical Sciences
of Tsinghua University
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