| In this master thesis,we determine the even Rota-Baxter operators with weight 1 of the Lie superalgebra sl(2,1).Because the even part of the Lie superalgebra sl(2,1)is isomorphic to sl(2,C)=sl(2,C)⊕C,we can use the known results of the Rota-Baxter operator with the weight of the Lie algebra sl(2,C)is 1.We choose the skew symmetric matrices P5 and P12 corresponding to the Rota-Baxter operators whose weight 1 of the Lie algebra sl(2,C),and continue to discuss the situation based on P5,P12.The even operators with weight 1 on the Lie superalgebra sl(2,1)can obtain 11 results based on P5.The even operators with weight 1 on the Lie superalgebra sl(2,1)can obtain 52 results based on P12. |
