Khovanov’s Heisenberg category, moments in free probability, and shifted symmetric functions
2019
Author(s): Kvinge, Henry; Licata, Anthony M.; Mitchell, Stuart | Abstract: We establish an isomorphism between the center of the Heisenberg category defined by Khovanov and the algebra $\Lambda^*$ of shifted symmetric functions defined by Okounkov-Olshanski. We give a graphical description of the shifted power and Schur bases of $\Lambda^*$ as elements of the center, and describe the curl generators of the center 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.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
18
References
2
Citations
NaN
KQI