J. T. Hird, Naihuan Jing, Ernest Stitzinger
Published 2011-09-07Version 1
The action of the Bernstein operators on Schur functions was given in terms of codes in [CG] and extended to the analog in Schur Q-functions in [HJS]. We define a new combinatorial model of extended codes and show that both of these results follow from a natural combinatorial relation induced on codes. The new algebraic structure provides a natural setting for Schur functions indexed by compositions.
Journal: Int. J. Alg. Comput. 22, No. 06 (2012) 1250054
Lowering operators on $K$-$k$-Schur functions and a lowering operator formula for closed $K$-$k$-Schur functions
Some positive differences of products of Schur functions
Schur functions and alternating sums
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