Kvinge, HenryLicata, Anthony M.Mitchell, Stuart2026-01-012026-01-01ORCID:/0000-0003-0290-2393/work/163626475https://hdl.handle.net/1885/733800994We establish an isomorphism between the center EndH'(1) of Khovanov's Heisenberg category H1, the algebra λ° of shifted symmetric functions defined by Okounkov-Olshanski. We give a graphical description of the shifted power and Schur bases of λ∗as elements of EndH'(1), and describe the curl generators of EndH1p1q in the language of shifted symmetric functions. This latter description makes use of the transition and co-transition measures of Kerov and the noncommutative probability spaces of Biane.AML was supported by a Discovery Project grant from the Australian Research Council.enPublisher Copyright: © 29th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.Asymptotic representation theory of symmetric groupsHeisenberg algebra categorificationNoncommutative probability theoryShifted symmetric functions201685091917944