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Heisenberg algebra and a graphical calculus

Mikhail Khovanov (2014)

Fundamenta Mathematicae

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.

Holomorphic automorphisms and collective compactness in J*-algebras of operator

José Isidro (2007)

Open Mathematics

Let G be the Banach-Lie group of all holomorphic automorphisms of the open unit ball $B_{𝔄}$ in a J*-algebra $𝔄$ of operators. Let $𝔉$ be the family of all collectively compact subsets W contained in $B_{𝔄}$ . We show that the subgroup F ⊂ G of all those g ∈ G that preserve the family $𝔉$ is a closed Lie subgroup of G and characterize its Banach-Lie algebra. We make a detailed study of F when $𝔄$ is a Cartan factor.

Hyperbolic Lie Algebras and Quasi-Regular Cusps on Hilbert Modular Surfaces.

James Lepowsky, Robert V. Moody (1979)

Mathematische Annalen

Displaying 1 – 3 of 3

Heisenberg algebra and a graphical calculus

Holomorphic automorphisms and collective compactness in J*-algebras of operator

Hyperbolic Lie Algebras and Quasi-Regular Cusps on Hilbert Modular Surfaces.

Currently displaying 1 – 3 of 3