1Institute of Applied System Analysis, Jiangsu University, Zhenjiang, P. R. China 2Dept. of Mathematics, Shanghai Maritime University, Shanghai, P. R. China
Journal of Lie Theory, Tome 34 (2024) no. 2, pp. 481-501
We construct and classify all rank one polynomial modules over the GIM Lie algebra ${\mathfrak g}_n$ ($n\geq 3$) with structural matrix \[ \begin{bmatrix} 2 -1 1 \\ -1 2 -1 \\ \ddots \ddots\ddots \\ -1 2 -1 \\ 1 -1 2 \end{bmatrix} _{n\times n}. \] Moreover, the simplicity of these modules is studied.
1
Institute of Applied System Analysis, Jiangsu University, Zhenjiang, P. R. China
2
Dept. of Mathematics, Shanghai Maritime University, Shanghai, P. R. China
Limeng Xia; Hengyun Yang. Polynomial Modules over a Class of GIM Lie Algebras. Journal of Lie Theory, Tome 34 (2024) no. 2, pp. 481-501. http://geodesic.mathdoc.fr/item/JOLT_2024_34_2_a10/
@article{JOLT_2024_34_2_a10,
author = {Limeng Xia and Hengyun Yang},
title = {Polynomial {Modules} over a {Class} of {GIM} {Lie} {Algebras}},
journal = {Journal of Lie Theory},
pages = {481--501},
year = {2024},
volume = {34},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2024_34_2_a10/}
}
TY - JOUR
AU - Limeng Xia
AU - Hengyun Yang
TI - Polynomial Modules over a Class of GIM Lie Algebras
JO - Journal of Lie Theory
PY - 2024
SP - 481
EP - 501
VL - 34
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UR - http://geodesic.mathdoc.fr/item/JOLT_2024_34_2_a10/
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