First Cohomology Group from the Virasoro-Like Algebra to its Larsson Functor Module |
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| Authors: | Qing Wang |
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| Affiliation: | Department of Mathematics , Xiamen University , Xiamen, Fujian, China |
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| Abstract: | Let 𝒲 be the Virasoro-like algebra, and d 1, d 2 be the degree derivations of 𝒲. Set ? = W⊕C d 1⊕C d 2. Let F α(V) be the ?-module defined by Larsson's functor applied to a finite dimensional sl 2-module V. In this article, the derivations from ? to ?-modules F α(V) and the first cohomology group H 1(?, F α(V)) are given. |
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| Keywords: | Cohomology group Derivation Virasoro-like algebra |
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