JORDAN TYPES OF COMMUTING NILPOTENT MATRICES

Date

2018-01-01

Author

Öztürk, Semra

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Let A and B be matrices which are polynomials in r pairwise commuting nilpotent matrices over a field. We give a sufficient condition for the null space of A(i) to equal that of B-i for all i, in particular, for A and B to be similar.

Subject Keywords

Jordan canonical form, Jordan type, Pairwise commuting nilpotent matrices

URI

https://hdl.handle.net/11511/45829

Journal

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY

DOI

https://doi.org/10.4134/ckms.c170424

Collections

Department of Mathematics, Article

Citation Formats

S. Öztürk, “JORDAN TYPES OF COMMUTING NILPOTENT MATRICES,” COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, vol. 33, no. 4, pp. 1097–1102, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/45829.