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math.RT2024
Singular vectors, characters, and composition series for the N=1 BMS superalgebra
Wei Jiang, Dong Liu, Yufeng Pei +1
This paper investigates the structure of Verma modules over the N=1 BMS superalgebra. We provide a detailed classification of singular vectors, establish necessary and sufficient c…
math.RA2024
1-cocycles of the Witt algebra with coefficients in tensor product of modules
Shoulan Gao, Dong Liu, Yufeng Pei
In this paper, we classify 1-cocycles of the Witt algebra with coefficients in the tensor product of two arbitrary tensor density modules. In a special case, we recover a theorem o…
math.RT2024
Irreducible modules over N=2 superconformal algebras from algebraic D-modules
Haibo Chen, Xiansheng Dai, Dong Liu +1
In this paper, we introduce a family of functors denoted that act on algebraic D-modules and generate modules over N=2 superconformal algebras. We prove these funct…