Classification of quasifinite modules with nonzero central charges for EALAs of type A with coordinates in quantum torus
Classification of quasifinite modules with nonzero central charges for EALAs of type A with coordinates in quantum torus
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DOI：
10.1007/s11401-008-0253-0
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发表时间：
2009-02
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影响因子：
--
通讯作者：
Rencai Lü
中科院分区：
文献类型：
--
作者：
Rencai Lü
作者首先从3阶量子环构造了一个李代数，该李代数与坐标为量子环Cqd的Ad−1型EALA的核心同构，然后给出了最高权模拟有限的充要条件。最后对中心电荷非零的不可约 ℤ 分级准有限模进行分类。
The author first constructs a Lie algebrafrom rank 3 quantum torus, which is isomorphic to the core of EALAs of type Ad−1with coordinates in quantum torusCqd, and then gives the necessary and sufficient conditions for the highest weight modules to be quasifinite. Finally the irreducible ℤ-graded quasifinite-modules with nonzero central charges are classified.