H_T Vertex Algebras

dc.creatorBergvelt, Maarten J
dc.date2006-02-28
dc.date.accessioned2026-07-07T07:03:54Z
dc.date.available2026-07-07T07:03:54Z
dc.descriptionThe usual vertex algebras have as underlying symmetry the Hopf algebra $H_D=\mathbb C[D]$ of infinitesimal translations. We show that it is possible to replace $H_D$ by another symmetry algebra $H_T=\mathbb C[T,T\inv]$, the group algebra of the Abelian group generated by $T$. $H_T$ is the algebra of symmetries of a lattice of rank 1, and the construction gives a class of vertex algebras related to the Infinite Toda Lattice in the same way as the usual $H_D$-vertex algebras are related to Korteweg-de Vries hierarchies.
dc.descriptionContribution to the Proceedings of the Conference "Lie Algebras, Vertex Operator Algebras and Their Applications" in honor of Jim Lepowsky and Robert Wilson
dc.identifierhttps://arxiv.org/abs/math/0602671
dc.identifierhttp://arxiv.org/abs/math/0602671
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109155
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject17B69
dc.titleH_T Vertex Algebras
dc.typetext

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