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On the Enumeration of Skew Young Tableaux (2001)  (Make Corrections)  
Richard Stanley



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Abstract: Introduction. A recent paper [7] of McKay, Morse, and Wilf considers the number N(n; T ) of standard Young tableaux (SYT) with n cells that contain a xed standard Young tableau T of shape ` k. (For notation and terminology related to symmetric functions and tableaux, see [6] or [12, Ch. 7].) They obtain the N(n; T )  t n f ; (1) denotes the number of SYT of shape and t n denotes the number of involutions in the symmetric group S n . Note that N(n; T ) = N(n; U) whenever T and U are... (Update)

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BibTeX entry:   (Update)

@misc{ stanley-enumeration,
  author = "Richard Stanley",
  title = "On the Enumeration of Skew Young Tableaux",
  url = "citeseer.ist.psu.edu/stanley01enumeration.html" }
Citations (may not include all citations):
492   Symmetric Functions and Hall Polynomials (context) - Macdonald - 1995
151   Cambridge University Press (context) - Stanley, Combinatorics - 1999
47   the distribution of the length of the longest increasing sub.. - Baik, Deift et al. - 1999
46   A variational problem for random Young tableaux (context) - Logan, Shepp - 1977
31   The Theory of Group Characters and Matrix Representations of.. (context) - Littlewood - 1950
22   Robinson-Schensted algorithms for skew tableaux (context) - Sagan, Stanley - 1990
10   Asymptotic behavior of the Plancherel measure of the symmetr.. (context) - Vershik, Kerov - 1977
10   The asymptotic character theory of the symmetric group (context) - Vershik, Kerov - 1981
9   The boundary of Young graph with Jack edge multiplicities - Kerov, Okounkov et al. - 1998
9   in symmetric groups (context) - Moser, Wyman et al. - 1955
7   Asymptotics of Young diagrams and hook numbers - Regev, Vershik - 1997
4   Representations of symmetric groups and free probability - Biane - 1998
2   The distributions of the entries of a Young tableau (context) - McKay, Morse et al.
1   73-146; English translation in St (context) - Okounkov, Olshanski et al. - 1998

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