منابع مشابه
Ribbon Schur operators
A new combinatorial approach to the ribbon tableaux generating functions and q-Littlewood Richardson coefficients of Lascoux, Leclerc and Thibon [10] is suggested. We define operators which add ribbons to partitions and following Fomin and Greene [4] study non-commutative symmetric functions in these operators. This allows us to give combinatorial interpretations for some (skew) q-Littlewood Ri...
متن کاملComposition of Transpositions and Equality of Ribbon Schur Q-Functions
We introduce a new operation on skew diagrams called composition of transpositions, and use it and a Jacobi-Trudi style formula to derive equalities on skew Schur Q-functions whose indexing shifted skew diagram is an ordinary skew diagram. When this skew diagram is a ribbon, we conjecture necessary and sufficient conditions for equality of ribbon Schur Q-functions. Moreover, we determine all re...
متن کاملDecomposable Compositions, Symmetric Quasisymmetric Functions and Equality of Ribbon Schur Functions
We define an equivalence relation on integer compositions and show that two ribbon Schur functions are identical if and only if their defining compositions are equivalent in this sense. This equivalence is completely determined by means of a factorization for compositions: equivalent compositions have factorizations that differ only by reversing some of the terms. As an application, we can deri...
متن کاملPositivity results on ribbon Schur function differences
There is considerable current interest in determining when the difference of two skew Schur functions is Schur positive. While the general solution for ribbon Schur functions seems out of reach at present, we determine necessary and sufficient conditions for multiplicity-free ribbons, i.e. those whose expansion as a linear combination of Schur functions has all coefficients either zero or one. ...
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...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1988
ISSN: 0195-6698
DOI: 10.1016/s0195-6698(88)80053-2