Tight irreducible finite weight modules over twisted affine Lie superalgebras

For a twisted affine Lie superalgebra with nonzero odd part, we study tight irreducible weight modules with bounded weight multiplicities and show that if the action of nonzero real vectors of each affine component of the zero part is neither completely injective nor completely locally nilpotent, th...

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Bibliographic Details
Published in:Journal of pure and applied algebra 2021-10, Vol.225 (10), p.106703, Article 106703
Main Author: Yousofzadeh, Malihe
Format: Article
Language:English
Subjects:
Finite weight modules
Tight modules
Twisted affine Lie superalgebras
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Summary:For a twisted affine Lie superalgebra with nonzero odd part, we study tight irreducible weight modules with bounded weight multiplicities and show that if the action of nonzero real vectors of each affine component of the zero part is neither completely injective nor completely locally nilpotent, then these modules are parabolically induced.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2021.106703