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math.CO2000
Recent Progress in Algebraic Combinatorics
Richard P. Stanley
A survey of recent progress in three areas of algebraic combinatorics: (1) the Saturation Conjecture for Littlewood-Richardson coefficients, (2) the n! and (n+1)^{n-1} conjectures,…
math.CO2000
A Note on the Symmetric Powers of the Standard Representation of S_n
David Savitt, Richard P. Stanley
In this paper, we prove that the dimension of the space spanned by the characters of the symmetric powers of the standard n-dimensional representation of the symmetric group S_n is…