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arXiv · 1506.01543

A representation on the labeled rooted forests

Mahir Bilen Can
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Abstract

We consider conjugation action of symmetric group on the semigroup of all partial functions and develop a machinery to investigate character formulas and multiplicities. In particular, we determine nilpotent matrices whose orbit under symmetric group afford the sign representation. Applications to rook theory are offered.

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Mahir Bilen Can. 2015-06-04. A representation on the labeled rooted forests. https://arxiv.org/abs/1506.01543

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