A seminormal form for partition algebras
Quantum Algebra
2013-07-04 v5 Representation Theory
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.
Cite
@article{arxiv.1102.2047,
title = {A seminormal form for partition algebras},
author = {John Enyang},
journal= {arXiv preprint arXiv:1102.2047},
year = {2013}
}
Comments
Published version. 51 pages, includes figures and tables