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Enumerative Combinatorics by Sergey Fomin, Richard P. Stanley

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Figure 7-5. A skew shape.

Note that the seemingly more general 〈sλ/ν, sμ/ρ〉 is itself a Littlewood–Richardson coefficient, since 〈sλ/ν, sμ/ρ〉 = 〈sλ, sνsμ/ρ〉 and sνsμ/ρ is just a skew Schur function, as Figure 7-5 (together with the combinatorial definition of Schur functions) makes evident. More generally, any product of skew Schur functions is a skew Schur function.

A central result in the theory of symmetric functions, called the Littlewood–Richardson rule, gives a combinatorial interpretation of the Littlewood–Richardson coefficient Image. We will ...

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