Thomas Stanley Westoll. 3 July 1912—19 September 1995

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AFFINE STANLEY SYMMETRIC FUNCTIONS By THOMAS LAM

We define a new family F̃w(X) of generating functions for w ∈ S̃n 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 fu...

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ژورنال

عنوان ژورنال: Biographical Memoirs of Fellows of the Royal Society

سال: 1999

ISSN: 0080-4606,1748-8494

DOI: 10.1098/rsbm.1999.0035