TY - JOUR
T1 - On certain generalizations of twisted affine Lie algebras and quasimodules for Γ-vertex algebras
AU - Li, Haisheng
N1 - Funding Information:
We are very grateful to the referee for his (or her) careful reading so that many typos in the manuscript have been eliminated. H. Li is partially supported by NSA grant H98230-05-1-0018.
PY - 2007/6
Y1 - 2007/6
N2 - We continue a previous study on Γ-vertex algebras and their quasimodules. In this paper we refine certain known results and we prove that for any Z-graded vertex algebra V and a positive integer N, the category of V-modules is naturally isomorphic to the category of quasimodules of a certain type for V⊗ N. We also study certain generalizations of twisted affine Lie algebras and we relate such Lie algebras to vertex algebras and their quasimodules, in a way similar to how twisted affine Lie algebras are related to vertex algebras and their twisted modules.
AB - We continue a previous study on Γ-vertex algebras and their quasimodules. In this paper we refine certain known results and we prove that for any Z-graded vertex algebra V and a positive integer N, the category of V-modules is naturally isomorphic to the category of quasimodules of a certain type for V⊗ N. We also study certain generalizations of twisted affine Lie algebras and we relate such Lie algebras to vertex algebras and their quasimodules, in a way similar to how twisted affine Lie algebras are related to vertex algebras and their twisted modules.
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U2 - 10.1016/j.jpaa.2006.08.004
DO - 10.1016/j.jpaa.2006.08.004
M3 - Article
AN - SCOPUS:33845992902
SN - 0022-4049
VL - 209
SP - 853
EP - 871
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 3
ER -