Quasisymmetric expansions of Schur-function plethysms
نویسندگان
چکیده
Let sμ denote a Schur symmetric function and Qα a fundamental quasisymmetric function. Explicit combinatorial formulas are developed for the fundamental quasisymmetric expansions of the plethysms sμ[sν ] and sμ[Qα], as well as for related plethysms defined by inequality conditions. The key tools for obtaining these expansions are new standardization and reading word constructions for matrices. As one application, we use our expansions to give a new derivation of the (well-known) Schur expansion for h2[hn]. MSC: 05E05, 05E10
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