On the representation theory of the symmetric groups

Abstract

We present here a new approach to the description of finite-dimensional complex irreducible representations of the symmetric groups due to A. Okounkov and A. Vershik. It gives an alternative construction to the combinatorial one, which uses tabloids, polytabloids, and Specht modules. Its aim is to show how the combinatorial objects of the theory (Young diagrams and tableaux) arise from the internal structure of the symmetric group. © 2005 Springer Science+Business Media, Inc.