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| DECOMPOSITIONS OF BOSONIC MODULES OF LIE ALGEBRAS $W_{1+\infty}$ AND $W_{1+\infty}({gl}_N)$ |
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Citation： |
HU Naihong,LIU Dong.DECOMPOSITIONS OF BOSONIC MODULES OF LIE ALGEBRAS $W_{1+\infty}$ AND $W_{1+\infty}({gl}_N)$[J].Chinese Annals of Mathematics B,2005,26(4):633~642 |
| Page view： 1140
Net amount： 802 |
Authors： |
HU Naihong; LIU Dong |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.10431040, No.10271047, No.19731004), the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institution of the Ministry of Education of China, the Specialized Research Fund for the Doctoral Program of Higher Education of the Ministry of Education of China, the Shanghai Rising-Star Program of the Science and Technology Commission of Shanghai and the Shanghai Priority Academic Discipline of the Education Commission of Shanghai. |
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| Abstract： |
A bosonic construction (with central charge $c=2$) of Lie algebras $W_{1+\infty}$ and $W_{1+\infty}({gl}_N)$, as well as the decompositions into irreducible modules
are described. And for $W_{1+\infty}$, when restricted to its Virasoro subalgebra Vir, a bosonic construction and the same decomposition for Vir are obtained. |
Keywords： |
Bosonic representation, Virasoro algebra |
Classification： |
17B65, 17B68, 81R10 |
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