Heisenberg algebra and a graphical calculus

• Autorzy: Mikhail Khovanov
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 19A22: Frobenius induction, Burnside and representation rings
• 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2014
• Tom: 225
• Numer: 1
• Strony: 169-210

Daty

wydano

2014

Twórcy

autor

Mikhail Khovanov

• Department of Mathematics, Columbia University, New York, NY 10027, U.S.A.

Identyfikatory

DOI

10.4064/fm225-1-8