Doubly Symmetric Functions

Simple item page
dc.creatorBerele, Allan
dc.creatorTenner, Bridget Eileen
dc.date2009-03-30
dc.date.accessioned2026-07-07T12:58:26Z
dc.date.available2026-07-07T12:58:26Z
dc.descriptionIn 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.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0903.5306
dc.identifierhttp://arxiv.org/abs/0903.5306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225242
dc.subjectCombinatorics
dc.subjectRings and Algebras
dc.subject05E05 (Primary) 05E10 (Secondary)
dc.titleDoubly Symmetric Functions
dc.typetext

Files

Collections

arXiv