Quantum Field Theory and the Space of All Lie Algebras

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dc.creatorRitter, William Gordon
dc.date2003-04-22
dc.date2004-02-10
dc.date.accessioned2026-07-07T04:30:06Z
dc.date.available2026-07-07T04:30:06Z
dc.descriptionThe space M_n of all isomorphism classes of n-dimensional Lie algebras over a field k has a natural non-Hausdorff topology, induced from the Segal topology by the action of GL(n). One way of studying this complicated space is by topological invariants. In this article we propose a new class of invariants coming from quantum field theory, valid in any dimension, inspired by Jaffe's study of generalizations of the Witten index.
dc.description12 pages, accepted for publication
dc.identifierhttps://arxiv.org/abs/math-ph/0304031
dc.identifierhttp://arxiv.org/abs/math-ph/0304031
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57361
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectGroup Theory
dc.subject81T70; 17B81
dc.titleQuantum Field Theory and the Space of All Lie Algebras
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