433 research outputs found
A seminormal form for partition algebras
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.Comment: Published version. 51 pages, includes figures and table
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