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arxiv: 0809.2439 · v1 · submitted 2008-09-15 · 🧮 math.CO · math.RT

Wreath Product Symmetric Functions

classification 🧮 math.CO math.RT
keywords functionsproductrulesymmetricwreathcoloredcombinatorialconnection
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We systematically study wreath product Schur functions and give a combinatorial construction using colored partitions and tableaux. The Pieri rule and the Littlewood-Richardson rule are studied. We also discuss the connection with representations of generalized symmetric groups.

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