Parabolic Catalan numbers count flagged Schur functions and their appearances as type A Demazure characters (key polynomials)
Fix an integer partition lambda that has no more than n parts. Let beta be a weakly increasing n-tuple with entries from {1,..,n}. The flagged Schur function indexed by lambda and beta is a polynomial generating function in x_1, .., x_n for certain semistandard tableaux of shape lambda. Let pi be an...
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| Format: | Article |
| Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2017-12-01
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| Series: | Discrete Mathematics & Theoretical Computer Science |
| Subjects: | |
| Online Access: | https://dmtcs.episciences.org/3727/pdf |