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THE ANNIHILATOR OF TENSOR SPACE IN THE $q$-ROOK MONOID ALGEBRA
Published online by Cambridge University Press: 02 March 2017
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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- Research Article
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- © 2017 Australian Mathematical Publishing Association Inc.