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- W2963499787 abstract "The product monomial crystal was defined by Kamnitzer, Tingley, Webster, Weekes, and Yacobi for any semisimple simply-laced Lie algebra $mathfrak{g}$, and depends on a collection of parameters $mathbf{R}$. We show that a family of truncations of this crystal are Demazure crystals, and give a Demazure-type formula for the character of each truncation, and the crystal itself. This character formula shows that the product monomial crystal is the crystal of a generalised Demazure module, as defined by Lakshmibai, Littelmann and Magyar. In type $A$, we show the product monomial crystal is the crystal of a generalised Schur module associated to a column-convex diagram depending on $mathbf{R}$." @default.
- W2963499787 created "2019-07-30" @default.
- W2963499787 creator A5009244939 @default.
- W2963499787 date "2019-07-23" @default.
- W2963499787 modified "2023-09-27" @default.
- W2963499787 title "A Demazure Character Formula for the Product Monomial Crystal" @default.
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