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Classification of Irreducible Weight Modules with a Finite–dimensional Weight Space over Twisted Heisenberg–Virasoro Algebra

✍ Scribed by Ran Shen; Yu Cai Su*


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2006
Tongue
English
Weight
122 KB
Volume
23
Category
Article
ISSN
1439-7617

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Classification of Irreducible Nonzero Le
✍ V Futorny; A Tsylke 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 142 KB

We classify the irreducible weight affine Lie algebra modules with finite-dimensional weight spaces on which the central element acts nontrivially. In particular, we show that any such module is a quotient of a generalized Verma module. The classification of such irreducible modules is reduced to th