The Limit Shape of Young Diagrams

  • Akihito Hora
  • Nobuaki Obata
Part of the Theoretical and Mathematical Physics book series (TMP)


This chapter is devoted to the celebrated limit shape of Young diagrams, which is the milestone towards the asymptotic representation theory of the symmetric groups. To our goal we shall not take the quickest way but employ a new idea from quantum probability theory. Our approach is largely combinatorial. In other words, we make much of the moment method which has been developed in previous chapters from various aspects. It is our hope that this framework will also serve as an accessible introduction to asymptotic representation theory.


Conjugacy Class Symmetric Group Cayley Graph Young Diagram Limit Shape 
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Copyright information

© Springer 2007

Authors and Affiliations

  • Akihito Hora
    • 1
  • Nobuaki Obata
    • 2
  1. 1.Graduate School of MathematicsNagoya UniverstiyNagoyaJapan
  2. 2.Graduate School of Information SciencesTohoku UniversitySendaiJapan

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