Codes and shifted codes of partitions

Details Codes and shifted codes of partitions Codes and shifted codes of partitions

2010-10-19

arxiv.org/abs/1010.4072v1

Int. J. Alg Comput., 21, No. 5 (2011) 1--16

Mathematics

Combinatorics

20 pages

Scientific paper

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 straightforward consequence of the classical result. We also show how a similar approach using the codes of partitions can be generalized from Schur functions to also include Schur $Q$-functions and derive the combinatorial formulation for both cases. We then apply them by examining the Littlewood-Richardson and Pieri Rules.

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