Springer Netherlands, 2002. — 281 p.
This book surveys recent developments and outlines research prospects in various fields, the fundamental questions of which can be stated in the language of symmetric functions. Interdisciplinary interconnections are emphasized.
Front Matter
Notes on Macdonald Polynomials and the Geometry of Hilbert Schemes
The Laplacian Method
Kerov’s Central Limit Theorem for the Plancherel Measure on Young Diagrams
Symmetric Functions and the Fock Space
An Introduction to Birational Weyl Group Actions
Symmetric Functions and Random Partitions
From Littlewood-Richardson Coefficients to Cluster Algebras in Three Lectures