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Quasifinite modules of a Lie algebra related to Block type
- Source :
-
Journal of Pure & Applied Algebra . Dec2007, Vol. 211 Issue 3, p596-608. 13p. - Publication Year :
- 2007
-
Abstract
- Abstract: Let be the universal central extension of a graded Lie algebra of Block type. In this paper, it is proved that any quasifinite irreducible -module is either highest weight, lowest weight or uniformly bounded. Furthermore, the quasifinite irreducible highest weight -modules are classified, and the intermediate series -modules are classified and constructed. [Copyright &y& Elsevier]
- Subjects :
- *LIE algebras
*LINEAR algebra
*FINITE groups
*MATHEMATICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 211
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 25937639
- Full Text :
- https://doi.org/10.1016/j.jpaa.2007.03.005