A Note On The Kth Tensor Product Of The Defining Representation

JOURNAL OF COMBINATORICS（2016）

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摘要

Let D be the defining representation of the symmetric group Sn. We prove an identity which decomposes the tensor product of D with itself k times into irreducible components using a sign reversing involution.

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关键词

Permutation matrices, tensor products, representations of the symmetric group

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