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Vertex operator representations for TKK algebras
- Source :
-
Journal of Algebra . Feb2007, Vol. 308 Issue 2, p704-733. 30p. - Publication Year :
- 2007
-
Abstract
- Abstract: It is known that, up to isomorphism, there are only one lattice S and one non-lattice semi-lattice in . In [S. Tan, TKK algebras and vertex operator representations, J. Algebra 211 (1999) 298–342] we obtained a vertex operator representation for the baby-TKK algebra . The goal of the present paper is to study the TKK algebra , which includes the baby-TKK algebra as a subalgebra, and its vertex operator representations. As a by-product, we also obtain two representations for the baby-TKK algebra . One of the representations recovers the construction given in [S. Tan, TKK algebras and vertex operator representations, J. Algebra 211 (1999) 298–342]. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*MATHEMATICAL analysis
*ALGEBRA
*SET theory
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 308
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 23277746
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2006.09.001