Classification of irreducible non-zero level quasifinite modules over twisted affine Nappi-Witten algebra

被引：0

作者：

Xue Chen

机构：

[1] Xiamen University of Technology,School of Applied Mathematics

来源：

Frontiers of Mathematics in China | 2016年 / 11卷

关键词：

Twisted affine Nappi-Witten algebra; quasifinite module; weight module; 17B10; 17B65;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain that every irreducible quasifinite module with non-zero level over the twisted affine Nappi-Witten algebra is either a highest weight module or a lowest one.

引用

页码：269 / 277

页数：8

共 13 条

[1] Classification of irreducible non-zero level quasifinite modules over twisted affine Nappi-Witten algebra
Chen, Xue
[J]. FRONTIERS OF MATHEMATICS IN CHINA, 2016, 11 (02) : 269 - 277
[2] Imaginary Modules over the Affine Nappi-Witten Algebra
Bao, Yi Xin
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[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 38 (06) : 1041 - 1053
[3] Modules over the affine-Virasoro algebra of Nappi-Witten type
Chen, Hongjia
Xu, Dashu
[J]. JOURNAL OF ALGEBRA, 2024, 657 : 549 - 580
[4] Whittaker modules for the twisted affine Nappi-Witten Lie algebra (H)over-cap4 [τ]
Chen, Xue
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[J]. JOURNAL OF ALGEBRA, 2020, 546 : 37 - 61
[5] Imaginary Verma modules for the twisted affine Nappi-Witten Lie algebra (H)over-tilde4[σ]
Chen, Xue
[J]. HOKKAIDO MATHEMATICAL JOURNAL, 2021, 50 (03) : 327 - 344
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Yi Xin BAO
Yan An CAI
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[7] Imaginary Modules over the Affine Nappi—Witten Algebra
Yi Xin Bao
Yan An Cai
[J]. Acta Mathematica Sinica, English Series, 2022, 38 : 1041 - 1053
[8] POLYNOMIAL REPRESENTATIONS OF THE AFFINE NAPPI-WITTEN LIE ALGEBRA (H)over-cap4
Chen Xue
Huang Zhili
[J]. ACTA MATHEMATICA SCIENTIA, 2012, 32 (06) : 2105 - 2118
[9] CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG-VIRASORO ALGEBRA
Lue, Rencai
Zhao, Kaiming
[J]. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2010, 12 (02) : 183 - 205
[10] Classification of level zero irreducible integrable modules for twisted full toroidal Lie algebras
Pal, Souvik
Rao, S. Eswara
[J]. JOURNAL OF ALGEBRA, 2021, 578 : 1 - 29

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