Doubly Symmetric Functions
Combinatorics
2009-04-01 v1 Rings and Algebras
Abstract
In this paper we introduce doubly symmetric functions, arising from the equivalence of particular linear combinations of Schur functions and hook Schur functions. We study algebraic and combinatorial aspects of doubly symmetric functions, in particular as they form a subalgebra of the algebra of symmetric functions. This subalgebra is generated by the odd power sum symmetric functions. One consequence is that a Schur function itself is doubly symmetric if and only if it is the Schur function of a staircase shape.
Cite
@article{arxiv.0903.5306,
title = {Doubly Symmetric Functions},
author = {Allan Berele and Bridget Eileen Tenner},
journal= {arXiv preprint arXiv:0903.5306},
year = {2009}
}
Comments
11 pages