q-Rook placements and Jordan forms of upper-triangular nilpotent matrices
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 $λ \vdash n$. We study a connection between these matrices and non-attacking q-rook placements, which leads to a combinatorial formula for the number$ F_λ (...
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
Discrete Mathematics & Theoretical Computer Science
2013-01-01
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| Schriftenreihe: | Discrete Mathematics & Theoretical Computer Science |
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| Online-Zugang: | https://dmtcs.episciences.org/2362/pdf |
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