A positivity conjecture on the structure constants of shifted Jack functions Number of Authors: 22024 (English)In: Open Problems in Algebraic Combinatorics / [ed] Christine Berkesch; Benjamin Brubaker; Gregg Musiker; Pavlo Pylyavskyy; Victor Reiner, Providence: American Mathematical Society (AMS), 2024, p. 51-59Conference paper, Published paper (Refereed)

Abstract [en]

We consider Jack polynomials Jλ and their shifted analogue J^#λ. In 1989, Stanley conjectured that (J_μJ_ν, J_λ) is a polynomial with nonnegative coefficients in the parameter α. In this note, we extend this conjecture to the case of shifted Jack polynomials.

Place, publisher, year, edition, pages

Providence: American Mathematical Society (AMS), 2024. p. 51-59

Series

Proceedings of Symposia in Pure Mathematics, ISSN 0082-0717, E-ISSN 2324-707X ; 110

Keywords [en]

Jack polynomials, Shifted symmetric functions

National Category

Discrete Mathematics

Identifiers

URN: urn:nbn:se:su:diva-239102DOI: 10.1090/pspum/110/02005Scopus ID: 2-s2.0-85204052193ISBN: 9781470473334 (print)ISBN: 9781470477974 (electronic)OAI: oai:DiVA.org:su-239102DiVA, id: diva2:1935263

Conference

Open Problems in Algebraic Combinatorics (OPAC 2022), Minneapolis, USA, May 16-22, 2022

Available from: 2025-02-06 Created: 2025-02-06 Last updated: 2025-02-06Bibliographically approved

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Alexandersson, Per

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Department of Mathematics

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