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Modules of the Intermediate Series over Not-finitely Graded Lie Algebras W(Γ).
- Source :
- Algebra Colloquium; Jun2021, Vol. 28 Issue 2, p319-336, 18p
- Publication Year :
- 2021
-
Abstract
- Let W (Γ) be a class of not-finitely graded Lie algebras related to generalized Virasoro algebras with basis { L α , i , C | α ∈ Γ , i ∈ Z + } , which satisfies relations [ L α , i , L β , j ] = (β - α) L α + β , i + j + (j - i) L α + β , i + j + 1 + δ α + β , 0 δ i + j , 0 α 3 - α 12 C and [ C , L α , i ] = 0. In this paper, W (Γ) -modules of the intermediate series satisfying some conditions are constructed and classified. We also obtain modules of the intermediate series over the related Lie superalgebra. [ABSTRACT FROM AUTHOR]
- Subjects :
- LIE algebras
C*-algebras
LIE superalgebras
ALGEBRA
Subjects
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 28
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 150231718
- Full Text :
- https://doi.org/10.1142/S1005386721000250