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Ding–Iohara algebras and quantum vertex algebras.
- Source :
-
Journal of Algebra . Oct2018, Vol. 511, p182-214. 33p. - Publication Year :
- 2018
-
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]
- Subjects :
- *ALGEBRA
*SURJECTIONS
*MODULES (Algebra)
*BOREL subgroups
*NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 511
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 132870968
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2018.05.040