A recursion formula for the irreducible characters of the symmetric group
Holmes, Randall R.
Original · EN
The branching theorem expresses irreducible character values for the symmetric group Sₙ in terms of those for Sₙ₋₁, but it gives the values only at elements of Sₙ having a fixed point. We extend the theorem by providing a recursion formula that handles the remaining cases. It expresses these character values in terms of values for Sₙ₋₁ together with values for Sₙ that are already known in the recursive process. This provides an alternative to the Murnaghan-Nakayama formula.
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