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Displaying similar documents to “On topological Tits buildings and their classification”

On the loop inequality for euclidean buildings

Jacek Świątkowski (1997)

Annales de l'institut Fourier

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We give an estimate for the number of closed loops of given length in the 1-skeleton of a thick euclidean building. This kind of estimate can be used to prove the (RD) property for the subspace of radial functions on A ˜ n groups, as shown in the paper by A. Valette [same issue].

A family of regular vertex operator algebras with two generators

Dražen Adamović (2007)

Open Mathematics

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For every m ∈ ℂ ∖ 0, −2 and every nonnegative integer k we define the vertex operator (super)algebra D m,k having two generators and rank 3 m m + 2 . If m is a positive integer then D m,k can be realized as a subalgebra of a lattice vertex algebra. In this case, we prove that D m,k is a regular vertex operator (super) algebra and find the number of inequivalent irreducible modules.