CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG-VIRASORO ALGEBRA
CLASSIFICATION OF IRREDUCIBLE WEIGHT MODULES OVER THE TWISTED HEISENBERG-VIRASORO ALGEBRA
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DOI：
10.1142/s0219199710003786
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发表时间：
2005-10
影响因子：
1.6
通讯作者：
R. Lu;K. Zhao
中科院分区：
文献类型：
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作者：
R. Lu;K. Zhao
在本文中，确定了扭Heisenberg - Virasoro代数上所有具有有限维权空间的不可约权模。它们分为两类。一类是由中间序列的单模构成，其非零权空间都是1维的；另一类由不可约的最高权模和最低权模组成。
In this paper, all irreducible weight modules with finite dimensional weight spaces over the twisted Heisenberg–Virasoro algebra are determined. There are two different classes of them. One class is formed by simple modules of intermediate series, whose nonzero weight spaces are all 1-dimensional; the other class consists of the irreducible highest weight modules and lowest weight modules.