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math.CO2011★ 2 cited
Codes and shifted codes
J. T. Hird, Naihuan Jing, Ernest Stitzinger
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…
math.CO2010★ 3 cited
Codes and shifted codes of partitions
J. T. Hird, Naihuan Jing, Ernest Stitzinger
In a recent paper, Carrell and Goulden found a combinatorial identity of the Bernstein operators that they then used to prove Bernstein's Theorem. We show that this identity is a s…