Nongraded Infinite-Dimensional Simple Lie Algebras

Simple item page
dc.creatorXu, Xiaoping
dc.date2000-11-30
dc.date.accessioned2026-07-07T04:38:57Z
dc.date.available2026-07-07T04:38:57Z
dc.descriptionNongraded infinite-dimensional Lie algebras appeared naturally in the theory of Hamiltonian operators, the theory of vertex algebras and their multi-variable analogues. They play important roles in mathematical physics. This survey article is written based on the author's seminar talks on nongraded infinite-dimensional simple Lie algebras. The key constructional ingredients of our Lie algebras are locally-finite derivations. The structure spaces of some families of these simple Lie algebras can be viewed as analogues of vector bundles with Lie algebras as fibers. We also believe that some of our simple Lie algebras could be related to noncommutative geometry.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0011264
dc.identifierhttp://arxiv.org/abs/math/0011264
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60478
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject17B65
dc.titleNongraded Infinite-Dimensional Simple Lie Algebras
dc.typetext

Files

Collections

arXiv