论文信息 - Plethysm and conjugation of quasi-symmetric functions

Plethysm and conjugation of quasi-symmetric functions

Abstract Let F C denote the basic quasi-symmetric functions, in Gessel's notation (1984) ( C any composition). The plethysm s λ oF C is a positive linear combination of functions F D . Under certain conditions, the image under the involution ω of a quasi-symmetric function defined by equalities and inequalities of the variables is obtained by negating the inequalities.

Christophe Reutenauer | Claudia Malvenuto | C. Reutenauer | C. Malvenuto

[1] R. Ehrenborg. On Posets and Hopf Algebras , 1996 .

[2] Ira M. Gessel,et al. Counting Permutations with Given Cycle Structure and Descent Set , 1993, J. Comb. Theory A.

[3] I. Gessel. Multipartite P-partitions and inner products of skew Schur functions , 1983 .

[4] C. Reutenauer,et al. Duality between Quasi-Symmetrical Functions and the Solomon Descent Algebra , 1995 .

[5] Glan Thomas. Frames, Young tableaux, and Baxter sequences , 1977 .

[6] R. Stanley. Ordered Structures And Partitions , 1972 .

[7] I. G. MacDonald,et al. Symmetric functions and Hall polynomials , 1979 .

[8] RICHARD P. STANLEY,et al. On the Number of Reduced Decompositions of Elements of Coxeter Groups , 1984, Eur. J. Comb..

[9] Basil Gordon,et al. Two Theorems on Multipartite Partitions , 1963 .

[10] Israel M. Gelfand,et al. Noncommutative Symmetrical Functions , 1995 .

[11] Donald C. Knutson,et al. Lambda-Rings and the Representation Theory of the Symmetric Group , 1973 .