A seminormal form for partition algebras

Details A seminormal form for partition algebras A seminormal form for partition algebras

2011-02-10

arxiv.org/abs/1102.2047v3

Mathematics

Quantum Algebra

46 pages, 12 tables

Scientific paper

Using a new presentation for partition algebras [arXiv:1009.1939], we give
explicit combinatorial formulae for the seminormal representations of the
partition algebras. Our results generalise to the partition algebras the
classical formulae given by Young for the symmetric group.

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