Séminaire Lotharingien de Combinatoire, 91B.26 (2024), 12 pp.
Farid Aliniaeifard and Nathaniel Thiem
Stanley Chromatic Functions and a Conjecture in The Representation Theory of Unipotent Groups
Abstract.
This extended abstract is an introduction to a conjecture attempting to relate the representation theory of finite unipotent groups to the representation theory of symmetric groups via combinatorial Hopf algebras. Chromatic symmetric functions arise naturally through the representation theory of unipotent groups, and a positive answer to the conjecture should have useful things to say about the e-positivity of these functions.
Received: November 15, 2023.
Accepted: February 15, 2024.
Final version: April 1, 2024.
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