In [18], Mendes and Remmel showed how Gessel’s generating function for the distributions of the number of descents, the major index, and the number of inversions of permutations in the symmetric group could be derived by applying a ring homomorphism defined on the ring of symmetric functions to a simple symmetric function identity. We show how similar methods may be used to prove analogues of that generating function for compositions
In two papers published in 1968 G . C . Rota, carrying to the limit the algebraic processes which ...
In two papers published in 1968 G . C . Rota, carrying to the limit the algebraic processes which ...
The definitions of descent, excedance, major index, inversion index and Denert's statistic for ...
AMS Subject Classication: 05A15, 05E05 Abstract. In [18], Mendes and Remmel showed how Gessel's...
AbstractA multivariate generating function involving the descent, major index, and inversion statist...
Well-known statistics on the symmetric group include descents, inversions, major index, and the alte...
AbstractIn this paper, we continue a long line of research which shows that many generating function...
AbstractA multivariate generating function involving the descent, major index, and inversion statist...
AbstractBrenti introduced a homomorphism from the symmetric functions to polynomials in one variable...
This monograph provides a self-contained introduction to symmetric functions and their use in enumer...
AbstractThe definitions of descent, excedance, major index, inversion index and Denert's statistics ...
AbstractSolomon's descent algebra is generated by sums of descent classes corresponding to certain h...
AbstractIn this paper, we continue a long line of research which shows that many generating function...
The ring of symmetric functions is a graded ring with important applications in mathematical physics...
In two papers published in 1968 G . C . Rota, carrying to the limit the algebraic processes which ...
In two papers published in 1968 G . C . Rota, carrying to the limit the algebraic processes which ...
In two papers published in 1968 G . C . Rota, carrying to the limit the algebraic processes which ...
The definitions of descent, excedance, major index, inversion index and Denert's statistic for ...
AMS Subject Classication: 05A15, 05E05 Abstract. In [18], Mendes and Remmel showed how Gessel's...
AbstractA multivariate generating function involving the descent, major index, and inversion statist...
Well-known statistics on the symmetric group include descents, inversions, major index, and the alte...
AbstractIn this paper, we continue a long line of research which shows that many generating function...
AbstractA multivariate generating function involving the descent, major index, and inversion statist...
AbstractBrenti introduced a homomorphism from the symmetric functions to polynomials in one variable...
This monograph provides a self-contained introduction to symmetric functions and their use in enumer...
AbstractThe definitions of descent, excedance, major index, inversion index and Denert's statistics ...
AbstractSolomon's descent algebra is generated by sums of descent classes corresponding to certain h...
AbstractIn this paper, we continue a long line of research which shows that many generating function...
The ring of symmetric functions is a graded ring with important applications in mathematical physics...
In two papers published in 1968 G . C . Rota, carrying to the limit the algebraic processes which ...
In two papers published in 1968 G . C . Rota, carrying to the limit the algebraic processes which ...
In two papers published in 1968 G . C . Rota, carrying to the limit the algebraic processes which ...
The definitions of descent, excedance, major index, inversion index and Denert's statistic for ...