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- W4353112596 abstract "An algebraic iterative formula for the spin Kostka-Foulkes polynomial $K^-_{ximu}(t)$ is given using vertex operator realizations of Hall-Littlewood symmetric functions and Schur's Q-functions. Based on the operational formula, more favorable properties are obtained parallel to the Kostka polynomial. In particular, we obtain some formulae for the number of (unshifted) marked tableaux. As an application, we confirmed a conjecture of Aokage on the expansion of the Schur $P$-function in terms of Schur functions. Tables of $K^-_{ximu}(t)$ for $|xi|leq6$ are listed." @default.
- W4353112596 created "2023-03-23" @default.
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- W4353112596 date "2023-03-19" @default.
- W4353112596 modified "2023-09-27" @default.
- W4353112596 title "Spin Kostka polynomials and vertex operators" @default.
- W4353112596 doi "https://doi.org/10.2140/pjm.2023.325.127" @default.
- W4353112596 hasPublicationYear "2023" @default.
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