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 (...

Descripción completa

Detalles Bibliográficos

Autor principal:	Martha Yip
Formato:	Artigo
Lenguaje:	Inglês
Publicado:	Discrete Mathematics & Theoretical Computer Science 2013-01-01
Colección:	Discrete Mathematics & Theoretical Computer Science
Materias:	q-rook placements jordan canonical form nilpotent matrices set partitions [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Acceso en línea:	https://dmtcs.episciences.org/2362/pdf
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!