1. Ding–Iohara algebras and quantum vertex algebras.
- Author
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Li, Haisheng, Tan, Shaobin, and Wang, Qing
- Subjects
- *
ALGEBRA , *SURJECTIONS , *MODULES (Algebra) , *BOREL subgroups , *NUMERICAL analysis - Abstract
Abstract In this paper, we associate quantum vertex algebras to a certain family of associative algebras A ˜ (g) which are essentially Ding–Iohara algebras. To do this, we introduce another closely related family of associative algebras A (h). The associated quantum vertex algebras are based on the vacuum modules for A (h) , whereas ϕ -coordinated modules for these quantum vertex algebras are associated to A ˜ (g) -modules. Furthermore, we classify their irreducible ϕ -coordinated modules. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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