most citedThe Planar Rook Algebra and Pascal's Triangle

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math.RT2008★ 1 cited

The Planar Rook Algebra and Pascal's Triangle

Daniel Flath, Tom Halverson, Kathryn Herbig

We study the combinatorial representation theory of the ``planar rook algebra" . This algebra has a basis consisting of planar rook diagrams and multiplication given by diagra…