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- W4300906957 abstract "The set of n by n upper-triangular nilpotent matrices with entries in a finite field F_q has Jordan canonical forms indexed by partitions lambda of n. We present a combinatorial formula for computing the number F_lambda(q) of matrices of Jordan type lambda as a weighted sum over standard Young tableaux. We also study a connection between these matrices and non-attacking rook placements, which leads to a refinement of the formula for F_lambda(q)." @default.
- W4300906957 created "2022-10-04" @default.
- W4300906957 creator A5019296454 @default.
- W4300906957 date "2017-02-28" @default.
- W4300906957 modified "2023-09-23" @default.
- W4300906957 title "Rook placements and Jordan forms of upper-triangular nilpotent matrices" @default.
- W4300906957 doi "https://doi.org/10.48550/arxiv.1703.00057" @default.
- W4300906957 hasPublicationYear "2017" @default.
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