Abstract
In this paper we construct a complete set of representatives of the irreducible representations of the party algebra. which is the centralizer of the unitary reflection group $G(r, 1, k)$ in the endomorphism ring of the tensor space $V^{\otimes n}$ under the condition that $k\geq n$ and $r>n$.
Citation
Masashi Kosuda. "Irreducible representations of the party algebra." Osaka J. Math. 43 (2) 431 - 474, June 2006.
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