Modules of the Intermediate Series over Not-finitely Graded Lie Algebras W(Γ)
-
Published:2021-05-11
Issue:02
Volume:28
Page:319-336
-
ISSN:1005-3867
-
Container-title:Algebra Colloquium
-
language:en
-
Short-container-title:Algebra Colloq.
Affiliation:
1. School of Mathematical Sciences, Tongji University, Shanghai 200092, China
Abstract
Let [Formula: see text] be a class of not-finitely graded Lie algebras related to generalized Virasoro algebras with basis [Formula: see text], which satisfies relations [Formula: see text] and [Formula: see text]. In this paper, [Formula: see text]-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.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory