Imaginary Verma modules for the twisted affine Nappi-Witten Lie algebra (H)over-tilde4[σ]

被引：0

作者：

Chen, Xue ^{[1
]}

机构：

[1] Xiamen Univ Technol, Sch Appl Math, Xiamen 361024, Peoples R China

来源：

HOKKAIDO MATHEMATICAL JOURNAL | 2021年 / 50卷 / 03期

关键词：

Twisted affine Nappi-Witten Lie algebra; Imaginary Verma modules; Imaginary vacuum vectors;

D O I：

10.14492/hokmj/2019-169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An irreducible criterion of the imaginary Verma modules for the twisted affine Nappi-Witten Lie algebra (H) over tilde (4)[sigma] is determined. For a (reducible) imaginary Verma module, explicit characterizations of the maximal submodule, imaginary vacuum vectors, and the composition structure are also given.

引用

页码：327 / 344

页数：18

共 15 条

[1] Imaginary Modules over the Affine Nappi-Witten Algebra
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[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2022, 38 (06) : 1041 - 1053
[2] Whittaker modules for the twisted affine Nappi-Witten Lie algebra (H)over-cap4 [τ]
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[J]. Acta Mathematica Sinica,English Series, 2022, 38 (06) : 1041 - 1053
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Xue Chen
[J]. Frontiers of Mathematics in China, 2016, 11 : 269 - 277
[9] 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
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[J]. COMMUNICATIONS IN ALGEBRA, 2003, 31 (01) : 289 - 308

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