M. Bergvelt

activity

19922016

most citedSpin Calogero Particles and Bispectral Solutions of the Matrix KP Hierarchy

18 citations · 38 across the 11 of their papers we have counts for

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4 papers · 1 filter

math.QA2008

$H_{D}$ -Quantum Vertex Algebras

Maarten Bergvelt

We discuss a class of quantum vertex algebras where not only the commutativity of the vertex algebra is broken by a braiding map $S^{(τ)}$ , but also the translation covariance is b…

math.QA2007★ 17 cited

$H_{D}$ -Quantum Vertex Algebras and Bicharacters

Iana I. Anguelova, Maarten J. Bergvelt

We define a new class of quantum vertex algebras, based on the Hopf algebra $H_{D} = C [D]$ of "infinitesimal translations" generated by $D$ . Besides the braiding map describin…

math.QA2006

H_T Vertex Algebras

Maarten J Bergvelt

The usual vertex algebras have as underlying symmetry the Hopf algebra $H_{D} = C [D]$ of infinitesimal translations. We show that it is possible to replace $H_{D}$ by another sym…

math.QA2005

H_T Vertex Algebras and the Infinite Toda Lattice

Maarten Bergvelt

Let H_T=C[T,T^{-1}] be the Hopf algebra of symmetries of a lattice of rank 1, or equivalently, H_T is the group algebra of a free Abelian group with one generator T. We construct c…

HD​-Quantum Vertex Algebras

HD​-Quantum Vertex Algebras and Bicharacters

H_T Vertex Algebras

H_T Vertex Algebras and the Infinite Toda Lattice

$H_{D}$ -Quantum Vertex Algebras

$H_{D}$ -Quantum Vertex Algebras and Bicharacters