Determinant formula and a realization for the Lie algebra <Emphasis Type="Italic">W</Emphasis> (2, 2) |
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| Authors: | Wei Jiang Yufeng Pei Wei Zhang |
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| Institution: | 1.Department of Mathematics,Changshu Institute of Technology,Changshu,China;2.Department of Mathematics,Shanghai Normal University,Shanghai,China;3.School of Mathematics and Statistics,Beijing Institute of Technology,Beijing,China |
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| Abstract: | In this paper, an explicit determinant formula is given for the Verma modules over the Lie algebra W(2, 2). We construct a natural realization of certain vaccum module for the algebra W(2, 2) via theWeyl vertex algebra. We also describe several results including the irreducibility, characters and the descending filtrations of submodules for the Verma module over the algebra W(2, 2). |
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