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تسجيل مستخدم جديدKhovanovs Heisenberg category, moments in free probability, and shifted symmetric functions
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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.
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