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- W2952370279 abstract "We define a new family of symmetric functions which are affine analogues of Stanley symmetric functions. We establish basic properties of these functions including symmetry, dominance and conjugation. We conjecture certain positivity properties in terms of a subfamily of symmetric functions called affine Schur functions. As applications, we show how affine Stanley symmetric functions generalise the (dual of the) $k$-Schur functions of Lapointe, Lascoux and Morse as well as the cylindric Schur functions of Postnikov. Conjecturally, affine Stanley symmetric functions should be related to the cohomology of the affine flag variety." @default.
- W2952370279 created "2019-06-27" @default.
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- W2952370279 date "2005-01-21" @default.
- W2952370279 modified "2023-09-27" @default.
- W2952370279 title "Affine Stanley symmetric functions" @default.
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