most citedCounting matrices over finite fields with support on skew Young diagrams and complements of Rothe diagrams

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math.CO2012★ 18 cited

Counting matrices over finite fields with support on skew Young diagrams and complements of Rothe diagrams

Aaron J. Klein, Joel Brewster Lewis, Alejandro H. Morales

We consider the problem of finding the number of matrices over a finite field with a certain rank and with support that avoids a subset of the entries. These matrices are a q-analo…