Some surprising identities in character tables of S_n

Sun, 22/11/2015 - 14:00
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On page 155 of [Graham, Knuth and Patashnik] it says:

 

The numbers in Pascal's triangle satisfy, practically speaking, infinitely many identities,

so it is not surprising that we can find some surprising relationships by looking closely.

 

By proving some surprising identities in character tables of S_n we shall indicate that a

similar statement seem to hold for the S_n character tables .

Joint work with D. Zeilberger