On representation theory of symmetric groups
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IX, Tome 301 (2003), pp. 229-242
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We present here a new approach to description of finite-dimensional complex irreducible representations of symmetric groups due to A. Okounkov and A. Vershik. It gives an alternative construction to the combinatorial one using tabloids, polytabloids and Specht modules. Its aim is to show how the combinatorial objects of the theory (Young diagrams and tableaux) come from the inside structure of the symmetric group.
@article{ZNSL_2003_301_a8,
author = {P. Py},
title = {On representation theory of symmetric groups},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {229--242},
publisher = {mathdoc},
volume = {301},
year = {2003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_301_a8/}
}
P. Py. On representation theory of symmetric groups. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IX, Tome 301 (2003), pp. 229-242. http://geodesic.mathdoc.fr/item/ZNSL_2003_301_a8/