Non-weight modules over the Block type algebra B′<mml:mo stretc
Non-weight modules over the Block type algebra B′<mml:mo stretc
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DOI:
10.1016/j.geomphys.2023.104988
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发表时间:
2023-09
影响因子:
1.5
通讯作者:
Qiang Xie;Jiancai Sun;Chunguang Xia
中科院分区:
文献类型:
--
作者:
Qiang Xie;Jiancai Sun;Chunguang Xia
In this paper, we study the non-weight modules over the Block type algebra B′(p, q), where p (≠ 0), q are some complex numbers. We construct a family of such irreducible modules, determine their isomorphism classes, and show that they exhaust the B′(p, q)-modules which are U (h)-free modules of rank 1, where h is the Cartan subalgebra.