Heisenberg algebra and a graphical calculus

Details Heisenberg algebra and a graphical calculus Heisenberg algebra and a graphical calculus

2010-09-16

arxiv.org/abs/1009.3295v1

Mathematics

Representation Theory

45 pages, eps files

Scientific paper

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 vector spaces of morphisms between products of generating objects in this category.

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