Authors: Jason Bandlow ¹; Anne Schilling ²; Mike Zabrocki ³

• 1 Department of Mathematics [Philadelphia]
• 2 Department of Mathematics [Univ California Davis]
• 3 Department of Mathematics and Statistics [Toronto]

We prove a Murnaghan–Nakayama rule for k-Schur functions of Lapointe and Morse. That is, we give an explicit formula for the expansion of the product of a power sum symmetric function and a k-Schur function in terms of k-Schur functions. This is proved using the noncommutative k-Schur functions in terms of the nilCoxeter algebra introduced by Lam and the affine analogue of noncommutative symmetric functions of Fomin and Greene.