Vertex algebras generated by Lie algebras
Review articleOpen access

AbstractIn this paper we introduce a notion of vertex Lie algebra U, in a way a “half” of vertex algebra structure sufficient to construct the corresponding local Lie algebra L(U) and a vertex algebra L(U). We show that we may consider U as a subset U ⊂ V (U) which generates V(U) and that the vertex Lie algebra structure on U is induced by the vertex algebra structure on V(U). Moreover, for any vertex algebra V a given homomorphism U → V of vertex Lie algebras extends uniquely to a homomorphism V(U) → V of vertex algebras. In the second part of paper we study under what conditions on structure constants one can construct a vertex Lie algebra U by starting with a given commutator formula for fields.

Request full text

References (0)

Cited By (0)

No reference data.
No citation data.
Join Copernicus Academic and get access to over 12 million papers authored by 7+ million academics.
Join for free!