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- W2891990351 abstract "We relate the type $A_n$ and type $C_n$ Stanley symmetric functions, by producing a new symmetric function: Our double Stanley symmetric function gives the type $A$ case at $(mathbf{x},mathbf{0})$ and gives the type $C$ case at $(mathbf{x},mathbf{x})$ and is symmetric and Schur positive in general at $(mathbf{x}, mathbf{y})$ for $omega in A_n subseteq C_n$. In order to produce a Schur expansion for our functions, we make two attempts to generalize Edelman-Greene to signed words. We successfully do this using a emph{signed-recording Edelman-Greene} map. However, the dual notion of the emph{singed-insertion Edelman-Greene} map appears a difficult task, although its possible existence leaves us with the interesting conjecture of the emph{even} and emph{odd} Stanley symmetric functions." @default.
- W2891990351 created "2018-09-27" @default.
- W2891990351 creator A5090107370 @default.
- W2891990351 date "2018-09-10" @default.
- W2891990351 modified "2023-09-27" @default.
- W2891990351 title "Symmetric Function Theory at the Border of A_n and C_n" @default.
- W2891990351 hasPublicationYear "2018" @default.
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