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| On the Homology of the Virasoro Algebra |
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Citation： |
Qiu Sen.On the Homology of the Virasoro Algebra[J].Chinese Annals of Mathematics B,1987,8(2):181~188 |
| Page view： 733
Net amount： 926 |
Authors： |
Qiu Sen; |
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| Abstract： |
This paper gives the structure of the homology of the Witt algebra and the Virasoro algebra with coeffieionts in a Verma module. Let s_k=(3k^2+k)/2, t_k=(3k^2—k)/2,k\in Z_+, and P={—s_k,-t_k|k\in Z_+}. Then the author obtains the homology of the Witt algebra with coefficients in an irreducible module L(\Lambda) with highest weight \Lambda \notin P, and the homology of the Virasoro algebra with coefficients in some irreducible modules. |
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