Over an algebraically closed field of characteristic p>2,based on the results on the representation theory of special linear Lie algebra sl(2),restricted simple modules L(λ) of the Schrodinger algebra S(1)are dete...Over an algebraically closed field of characteristic p>2,based on the results on the representation theory of special linear Lie algebra sl(2),restricted simple modules L(λ) of the Schrodinger algebra S(1)are determined,and all derivations of S(1)on L(λ)are also obtained.As an application,the first cohomology of S(1)with the coefficient in L(λ)is determined.展开更多
We consider the simple restricted modules for special contact Lie superalgebras of odd type over an algebraically closed field of characteristic p>3.We give a sufficient and necessary condition in terms of typical ...We consider the simple restricted modules for special contact Lie superalgebras of odd type over an algebraically closed field of characteristic p>3.We give a sufficient and necessary condition in terms of typical or atypical weights for restricted Kac modules to be simple.In the process,we also determine the socle for each restricted Kac module and the length for each simple restricted module.展开更多
文摘Over an algebraically closed field of characteristic p>2,based on the results on the representation theory of special linear Lie algebra sl(2),restricted simple modules L(λ) of the Schrodinger algebra S(1)are determined,and all derivations of S(1)on L(λ)are also obtained.As an application,the first cohomology of S(1)with the coefficient in L(λ)is determined.
基金supported in part by the National Natural Science Foundation of China(Grant No.11701158).
文摘We consider the simple restricted modules for special contact Lie superalgebras of odd type over an algebraically closed field of characteristic p>3.We give a sufficient and necessary condition in terms of typical or atypical weights for restricted Kac modules to be simple.In the process,we also determine the socle for each restricted Kac module and the length for each simple restricted module.
