Geodesic
Principal specialization of dual characters of flagged Weyl modules
Karola Mészáros1 ; Avery St. Dizier2 ; Arthur Tanjaya1
1Cornell University
2University of Illinois at Urbana-Champaign
The electronic journal of combinatorics, Tome 28 (2021) no. 4
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Schur polynomials are special cases of Schubert polynomials, which in turn are special cases of dual characters of flagged Weyl modules. The principal specialization of Schur and Schubert polynomials has a long history, with Macdonald famously expressing the principal specialization of any Schubert polynomial in terms of reduced words. We prove a lower bound on the principal specialization of dual characters of flagged Weyl modules. Our result yields an alternative proof of a conjecture of Stanley about the principal specialization of Schubert polynomials, originally proved by Weigandt.
DOI : 10.37236/10460
Classification : 05E05, 05E10, 14N15
Mots-clés : flagged Weyl module, Schubert polynomials, key polynomials, Schur functions, principal specialization

Karola Mészáros  1   ; Avery St. Dizier  2   ; Arthur Tanjaya  1

1 Cornell University
2 University of Illinois at Urbana-Champaign 
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     author = {Karola M\'esz\'aros and Avery St. Dizier and Arthur Tanjaya},
     title = {Principal specialization of dual characters of flagged {Weyl} modules},
     journal = {The electronic journal of combinatorics},
     year = {2021},
     volume = {28},
     number = {4},
     doi = {10.37236/10460},
     zbl = {1482.05334},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/10460/}
}
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Karola Mészáros; Avery St. Dizier; Arthur Tanjaya. Principal specialization of dual characters of flagged Weyl modules. The electronic journal of combinatorics, Tome 28 (2021) no. 4. doi: 10.37236/10460

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