Cartan 型李代数及相关李代数的表示理论

11971440
2019
A0105.李理论及其推广
郭向前
面上项目
教授
郑州大学
52万元
无限维李代数;Harish-Chandra 模;不可约模;Cartan 型李代数;最高权模
2020-01-01到2023-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 Simple Witt modules that are finitely generated over the Cartan subalgebra 期刊论文 Xiangqian Guo;Genqiang Liu;Rencai Lu;Kaiming Zhao
2 New irreducible tensor products modules for Virasoro algebra 期刊论文 Xiangqian Guo;Xuewen Liu;Jing Wang
3 Classification of simple Harish-Chandra modules over the Neveu-Schwarz algebra and its contact subalgebra 期刊论文 Yan-an Cai;Rencai Lü
4 Shen-Larsson’s modules for simple generalized Witt algebras 期刊论文 Xuewen Liu;Mengjiao Wang;Xiangqian Guo
5 U(h)-free modules over the Block algebra B(q) 期刊论文 Xiangqian Guo;Mengjiao Wang;Xuewen Liu
6 Classification of simple bounded weight modules of the Lie algebra of vector fields on ℂn 期刊论文 Yaohui Xue;Rencai Lü
7 New simple Virasoro modules from Weyl algebra modules 期刊论文 Shujuan Li;Mengyao Qin;Xiangqian Guo
8 Classification on irreducible Whittaker modules over quantum group U_q(sl_3, A) 期刊论文 Xia Limeng;Guo Xiangqian;Zhang Jiao
9 A new class of irreducible Virasoro modules from tensor product 期刊论文 Xuewen Liu;Xiangqian Guo;Jing Wang
10 Irreducible modules over the divergence zero algebras and their q-analogues 期刊论文 Xuewen Liu;Xiangqian Guo;Zhen Wei
11 New simple hat{sl}_2-modules from Weyl algebra modules 期刊论文 Xiangqian Guo;Xiaoqing Huo;Xuewen Liu
12 Simple weight modules with finite-dimensional weight spaces over Witt superalgebras 期刊论文 Yaohui Xue;Rencai Lü
13 Classification of simple Harish-Chandra modules for map (super)algebras related to the Virasoro algebra 期刊论文 Yan-an Cai;Rencai Lü;Yan Wang
14 Simple sl_{d+1}-modules from Witt algebra modules 期刊论文 Xiangqian Guo;Xuewen Liu;Fenghua Zhang
15 Classification of simple Harish-Chandra modules over the N = 1 Ramond algebra 期刊论文 Yan-an Cai;Dong Liu;Rencai Lü
16 Simple Heisenberg-Virasoro modules from Weyl algebra modules 期刊论文 Shujuan Li;Junyi Zhu;Xiangqian Guo
17 A class of non-weight modules of (2) and Clebsch–Gordan type formulas 期刊论文 Yan-an Cai;Hongjia Chen;Xiangqian Guo;Yao Ma;Mianmian Zhu
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