Add to ORKGCylindric skew Schur functions, which are a generalisation of skew Schur functions, arise naturally in the study of P-partitions. Also, recent work of A. Postnikov shows they have a strong connection with a problem of considerable current interest: that of finding a combinatorial proof of the non-negativity of the 3-point Gromov-Witten invariants. After explaining these motivations, we study cylindric skew Schur functions from the point of view of Schur-positivity. Using a result of I. Gessel and C. Krattenthaler, we generalise a formula of A. Bertram, I. Ciocan-Fontanine and W. Fulton, thus giving an expansion of an arbitrary cylindric skew Schur function in terms of skew Schur functions. While we show that no non-trivial cylindric skew Sc...
The Schur-positivity order on skew shapes is defined by B ≤ A if the difference sA − sB is Schur-pos...
AbstractThere is considerable current interest in determining when the difference of two skew Schur ...
AbstractThere is considerable current interest in determining when the difference of two skew Schur ...
Abstract. Cylindric skew Schur functions, which are a generalisation of skew Schur functions, arise ...
AbstractCylindric skew Schur functions, which are a generalisation of skew Schur functions, arise na...
AbstractCylindric skew Schur functions, which are a generalisation of skew Schur functions, arise na...
Some new relations on skew Schur function differences are established both combinatorially using Sc...
In 2001, Lapointe, Lascoux, and Morse discovered a class of symmetric functions called k-Schur funct...
In 2001, Lapointe, Lascoux, and Morse discovered a class of symmetric functions called k-Schur funct...
Abstract. There is considerable current interest in determining when the difference of two skew Schu...
Abstract. In recent years, there has been considerable interest in showing that certain conditions o...
Abstract. There is considerable current interest in determining when the difference of two skew Schu...
In recent years, there has been considerable interest in showing that certain conditions on skew sha...
The Schur-positivity order on skew shapes is defined by B≤A if the difference sA−sB is Schur-positiv...
AbstractThe Schur-positivity order on skew shapes is defined by B≤A if the difference sA−sB is Schur...
The Schur-positivity order on skew shapes is defined by B ≤ A if the difference sA − sB is Schur-pos...
AbstractThere is considerable current interest in determining when the difference of two skew Schur ...
AbstractThere is considerable current interest in determining when the difference of two skew Schur ...
Abstract. Cylindric skew Schur functions, which are a generalisation of skew Schur functions, arise ...
AbstractCylindric skew Schur functions, which are a generalisation of skew Schur functions, arise na...
AbstractCylindric skew Schur functions, which are a generalisation of skew Schur functions, arise na...
Some new relations on skew Schur function differences are established both combinatorially using Sc...
In 2001, Lapointe, Lascoux, and Morse discovered a class of symmetric functions called k-Schur funct...
In 2001, Lapointe, Lascoux, and Morse discovered a class of symmetric functions called k-Schur funct...
Abstract. There is considerable current interest in determining when the difference of two skew Schu...
Abstract. In recent years, there has been considerable interest in showing that certain conditions o...
Abstract. There is considerable current interest in determining when the difference of two skew Schu...
In recent years, there has been considerable interest in showing that certain conditions on skew sha...
The Schur-positivity order on skew shapes is defined by B≤A if the difference sA−sB is Schur-positiv...
AbstractThe Schur-positivity order on skew shapes is defined by B≤A if the difference sA−sB is Schur...
The Schur-positivity order on skew shapes is defined by B ≤ A if the difference sA − sB is Schur-pos...
AbstractThere is considerable current interest in determining when the difference of two skew Schur ...
AbstractThere is considerable current interest in determining when the difference of two skew Schur ...