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Journal article
Noncommutative Schur functions for posets
Selecta mathematica, v 31(21), 21
24 Jan 2025
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Abstract
The machinery of noncommutative Schur functions is a general approach to Schur positivity of symmetric functions initiated by Fomin-Greene. Hwang recently adapted this theory to posets to give a new approach to the Stanley-Stembridge conjecture. We further develop this theory to prove that the symmetric function associated to any P-Knuth equivalence graph is Schur positive. This settles a conjecture of Kim and the third author, and refines results of Gasharov, Shareshian-Wachs, and Hwang on the Schur positivity of chromatic symmetric functions.
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Details
- Title
- Noncommutative Schur functions for posets
- Creators
- Jonah D Blasiak (Corresponding Author) - Drexel University, MathematicsH Eriksson - University of VirginiaPavlo Pylyavskyy - University of MinnesotaIsaiah Siegl - University of Washington
- Publication Details
- Selecta mathematica, v 31(21), 21
- Publisher
- Springer Nature
- Number of pages
- 56
- Grant note
- NSF: DMS-1855784, DMS-2154282, DMS-1949896
Authors were supported by NSF Grants DMS-1855784 and DMS-2154282 (J. B.) and DMS-1949896 (P.P.).
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001405079900001
- Scopus ID
- 2-s2.0-85217490903
- Other Identifier
- 991022019920204721
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- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied