On the Representation Theory of the Symmetric Groups

  title={On the Representation Theory of the Symmetric Groups},
  author={Pierre Py},
  journal={Journal of Mathematical Sciences},
  • P. Py
  • Published 1 August 2005
  • Mathematics
  • Journal of Mathematical Sciences
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. Bibliography: 9 titles. 
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