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《Acta Mathematica Sinica(Chinese Series)》 2019-01
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Cohomology of the Super Schr?dinger Algebra ■(1/1)

Yong Sheng ZHAO;Lin Sheng ZHU;School of Mathematics and physics, Suzhou University of Science and Technology;School of Mathematics and Physics, Jiangsu University of Technology;  
We explicitly compute the first and second cohomology groups of the Super Schrodinger algebra■(1/1) with coefficients in the trivial module and the finitedimentional irreducible modules. We also show that the first and second cohomology groups of■(1/1) with coefficients in the universal enveloping algebras U(■(1/1))(under the adjoint action) are infinite dimensional.
【Fund】: 国家自然科学基金资助项目(11271056)
【CateGory Index】: O189.22
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1 CAI YanAn;GAO Yun;WANG YongJie;School of Mathematical Sciences, University of Science and Technology of China;Department of Mathematics and Statistics, York University;;Simple Harish-Chandra supermodules over the super Schrdinger algebra[J];Science China(Mathematics);2015-12
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