Khovanov's Heisenberg category, moments in free probability, and shifted symmetric functions

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Podrobná bibliografie
Vydáno v:	arXiv.org (Oct 14, 2016), p. n/a
Hlavní autor:	Kvinge, Henry
Další autoři:	Licata, Anthony M, Mitchell, Stuart
Vydáno:	Cornell University Library, arXiv.org
Témata:	Isomorphism
On-line přístup:	Citation/Abstract Full text outside of ProQuest
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Popis
Abstrakt:	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.
ISSN:	2331-8422
Zdroj:	Engineering Database