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arxiv: 1208.4369 · v3 · pith:2SUTOU64new · submitted 2012-08-21 · 🧮 math.CO

The Loop Murnaghan-Nakayama Rule

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keywords loopfunctionsmurnaghan-nakayamaruleschurcombinatorialdefinegeneralization
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We give a combinatorial proof of a natural generalization of the Murnaghan-Nakayama rule to loop Schur functions. We also define shifted loop Schur functions and prove that they satisfy a similar relation.

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