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A seminormal form for partition algebras
Published 10 Feb 2011 in math.QA and math.RT | (1102.2047v5)
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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