منابع مشابه
Bottom Schur Functions
We give a basis for the space spanned by the sum ŝλ of the lowest degree terms in the expansion of the Schur symmetric functions sλ in terms of the power sum symmetric functions pμ, where deg(pi) = 1. These lowest degree terms correspond to minimal border strip tableaux of λ. The dimension of the space spanned by ŝλ, where λ is a partition of n, is equal to the number of partitions of n into pa...
متن کاملN ov 2 00 3 BOTTOM SCHUR FUNCTIONS
We give a basis for the space spanned by the sumˆs λ of the lowest degree terms in the expansion of the Schur symmetric functions s λ in terms of the power sum symmetric functions p µ , where deg(p i) = 1. These lowest degree terms correspond to minimal border strip tableaux of λ. The dimension of the space spanned byˆs λ , where λ is a partition of n, is equal to the number of partitions of n ...
متن کاملSchur Functions
Editorial comments. The Schur functions sλ are a special basis for the algebra of symmetric functions Λ. They are also intimately connected with representations of the symmetric and general linear groups. In what follows we will give two alternative definitions of these functions, show how they are related to other symmetric function bases, explicitly describe their connection with representati...
متن کاملSkew Quasisymmetric Schur Functions and Noncommutative Schur Functions
Recently a new basis for the Hopf algebra of quasisymmetric functions QSym, called quasisymmetric Schur functions, has been introduced by Haglund, Luoto, Mason, van Willigenburg. In this paper we extend the definition of quasisymmetric Schur functions to introduce skew quasisymmetric Schur functions. These functions include both classical skew Schur functions and quasisymmetric Schur functions ...
متن کاملMultiplicity Free Schur, Skew Schur, and Quasisymmetric Schur Functions
In this paper we classify all Schur functions and skew Schur functions that are multiplicity free when expanded in the basis of fundamental quasisymmetric functions, termed F -multiplicity free. Combinatorially, this is equivalent to classifying all skew shapes whose standard Young tableaux have distinct descent sets. We then generalize our setting, and classify all F -multiplicity free quasisy...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2004
ISSN: 1077-8926
DOI: 10.37236/1820