Functional Analysis and Its Applications

, Volume 34, Issue 1, pp 41–51

Anisotropic young diagrams and jack symmetric functions

  • S. V. Kerov

DOI: 10.1007/BF02467066

Cite this article as:
Kerov, S.V. Funct Anal Its Appl (2000) 34: 41. doi:10.1007/BF02467066


We study the Young lattice with the edge multiplicitiesϰα (λ, ⋏) arising in the simplest Pieri formula for Jack symmetric polynomialsPλ (x; α) with parameter α. A new proof of Stanley’s α-version of the hook formula is given. We also prove the formula
whereϕ(λ) = ∏bλ(a(b)α +l(b) + 1)−1 andcα(b) is the α-contents of the new boxb=⋏/λ.

Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • S. V. Kerov

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