Affine Demazure crystals for specialized nonsymmetric Macdonald polynomials

نویسندگان

چکیده

We give a crystal-theoretic proof that nonsymmetric Macdonald polynomials specialized to t=0 are affine Demazure characters. explicitly construct an crystal on semistandard key tabloids such removing the edges recovers finite crystals constructed earlier by authors. also realize filtration highest weight modules defining explicit embedding operators which, at level of characters, parallels recursion Knop and Sahi for polynomials. Thus we prove combinatorially in type A every module admits flag.

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ژورنال

عنوان ژورنال: Algebraic combinatorics

سال: 2021

ISSN: ['2589-5486']

DOI: https://doi.org/10.5802/alco.178