Naslov
Vertex algebras generated by Lie algebras

Autori
Primc, Mirko

Izvornik
Journal of pure and applied algebra (0022-4049) 135 (1999), 3; 253-293

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
vertex algebras; vertex Lie algebras

Sažetak
In 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 V(U). We show that we may consider U as a subset U subset of 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. Ln 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. (C) 1999 Elsevier Science B.V. All rights reserved. 1991 Math. Subj. Class. 17B69.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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