INVESTIGADORES
BOYALLIAN Carina
artículos
Título:
TOWARDS A LIE THEORY FOR VERTEX AND CONFORMAL ALGEBRAS
Autor/es:
CARINA BOYALLIAN Y JUAN GUZAMAN
Revista:
JOURNAL OF MATHEMATICAL PHYSICS
Editorial:
AMER INST PHYSICS
Referencias:
Lugar: New York; Año: 2022
ISSN:
0022-2488
Resumen:
We introduce several definitions within the framework ofvertex and conformal algebras which are analogous to some importantconcepts of the classical Lie theory. Most importantly, we define vertexmanifolds, which correspond to the notion of Lie groups. We provesuitable vertex/conformal versions of a number of classical results suchas the Milnor-Moore theorem, Cartier duality, and Lie?s third theoremfor nilpotent Lie algebras.