Dong, Chongying; Nagatomo, Kiyokazu Automorphism groups and twisted modules for lattice vertex operator algebras. (English) Zbl 0953.17014 Jing, Naihuan (ed.) et al., Recent developments in quantum affine algebras and related topics. Proceedings of the international conference on representations of affine and quantum affine algebras and their applications, North Carolina State University, Raleigh, NC, USA, May 21-24, 1998. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 248, 117-133 (1999). The authors prove that the automorphism group of a positive definite lattice vertex operator algebra is generated by the exponential of degree-0 operators of weight-1 elements and the automorphisms induced from lattice automorphisms. Then they classify the modules twisted by the automorphism induced by the negative identity map of the lattice through determining the corresponding twisted Zhu’s algebras.For the entire collection see [Zbl 0932.00043]. Reviewer: Xu Xiaoping (Kowloon) Cited in 46 Documents MSC: 17B69 Vertex operators; vertex operator algebras and related structures Keywords:twisted modules; automorphism group; positive definite lattice vertex operator algebra; lattice automorphisms; twisted Zhu’s algebras × Cite Format Result Cite Review PDF Full Text: arXiv