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arXiv · 1102.2047

A seminormal form for partition algebras

John Enyang
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Abstract

Using a new presentation for partition algebras (J. Algebraic Combin. 37(3):401-454, 2013), we derive explicit combinatorial formulae for the seminormal representations of the partition algebras. These results generalise to the partition algebras the classical formulae given by Young for the symmetric group.

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John Enyang. 2011-02-10. A seminormal form for partition algebras. https://doi.org/10.1016/j.jcta.2013.06.001

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