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Tight irreducible finite weight modules over twisted affine Lie superalgebras
Journal of Pure and Applied Algebra ( IF 0.7 ) Pub Date : 2021-02-11 , DOI: 10.1016/j.jpaa.2021.106703
Malihe Yousofzadeh

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.



中文翻译:

扭曲仿射李超代数上的紧不可约有限重量模块

对于具有非零奇数部分的扭曲仿射李超代数,我们研究了具有有界权重多重性的紧不可约加权模块,并表明如果零部分的每个仿射分量的非零实矢量的作用既不是完全内射的,也不是完全局部幂等的,则这些模块是抛物线诱导的。

更新日期:2021-02-12
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