2017
DOI: 10.1017/s0004972716001404
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The Annihilator of Tensor Space in the -Rook Monoid Algebra

Abstract: In this paper, we give an explicit construction of a quasi-idempotent in the $q$-rook monoid algebra $R_{n}(q)$ and show that it generates the whole annihilator of the tensor space $U^{\otimes n}$ in $R_{n}(q)$.

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