Khovanov, Mikhail Heisenberg algebra and a graphical calculus. (English) Zbl 1304.18019 Fundam. Math. 225, 169-210 (2014). Summary: A new calculus of planar diagrams involving diagrammatics for biadjoint functors and degenerate affine Hecke algebras is introduced. The calculus leads to an additive monoidal category whose Grothendieck ring contains an integral form of the Heisenberg algebra in infinitely many variables. We construct bases of the vector spaces of morphisms between products of generating objects in this category. Cited in 4 ReviewsCited in 30 Documents MSC: 18D10 Monoidal, symmetric monoidal and braided categories (MSC2010) 17B65 Infinite-dimensional Lie (super)algebras 19A22 Frobenius induction, Burnside and representation rings Keywords:categorification of Heisenberg algebra; biadjoint functors; symmetric groups; induction and restriction functors; graphical calculus PDF BibTeX XML Cite \textit{M. Khovanov}, Fundam. Math. 225, 169--210 (2014; Zbl 1304.18019) Full Text: DOI arXiv