Geodesic
Khovanov's Heisenberg Category, Moments in Free Probability, and Shifted Symmetric Functions
Séminaire lotharingien de combinatoire, 78B (2017) 
Henry Kvinge; Anthony M. Licata; Stuart Mitchell. Khovanov's Heisenberg Category, Moments in Free Probability, and Shifted Symmetric Functions. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a62/
@article{SLC_2017_78B_a62,
     author = {Henry Kvinge and Anthony M. Licata and Stuart Mitchell},
     title = {Khovanov's {Heisenberg} {Category,} {Moments} in {Free} {Probability,} and {Shifted} {Symmetric} {Functions}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2017},
     volume = {78B},
     url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a62/}
}
TY  - JOUR
AU  - Henry Kvinge
AU  - Anthony M. Licata
AU  - Stuart Mitchell
TI  - Khovanov's Heisenberg Category, Moments in Free Probability, and Shifted Symmetric Functions
JO  - Séminaire lotharingien de combinatoire
PY  - 2017
VL  - 78B
UR  - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a62/
ID  - SLC_2017_78B_a62
ER  - 
%0 Journal Article
%A Henry Kvinge
%A Anthony M. Licata
%A Stuart Mitchell
%T Khovanov's Heisenberg Category, Moments in Free Probability, and Shifted Symmetric Functions
%J Séminaire lotharingien de combinatoire
%D 2017
%V 78B
%U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a62/
%F SLC_2017_78B_a62

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

We establish an isomorphism between the center EndH'(1) of Khovanov's Heisenberg category H' and 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 EndH'(1) 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.