Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer
About this chapter
Cite this chapter
Hora, A., Obata, N. (2007). The Limit Shape of Young Diagrams. In: Quantum Probability and Spectral Analysis of Graphs. Theoretical and Mathematical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48863-4_10
Download citation
DOI: https://doi.org/10.1007/3-540-48863-4_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-48862-0
Online ISBN: 978-3-540-48863-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)