This paper gives a Maschke-type theorem over semisimple weak Hopf algebras,extends the well-known Maschke-type theorem given by Cohen and Fishman and constructs a Morita context over weak Hopf algebras.
In this paper,we first give a direct sum decomposition of Lie comodules,and then accord-ing to the Lie comodule theory,construct some(triangular)Lie bialgebras through Lie coalgebras.
基金supported by the National Natural Science Foundation of China(Grant No.10571153)the Postdoctoral Science Foundation of China(Grant No.2005037713)the Postdoctoral Science Foundation of Jiangsu(Grant No.0203003403).
文摘This paper gives a Maschke-type theorem over semisimple weak Hopf algebras,extends the well-known Maschke-type theorem given by Cohen and Fishman and constructs a Morita context over weak Hopf algebras.
基金the Educational Ministry Key Foundation of China(Grant No.108154)the National Natural Science Foundation of China(Grant No.10571153)
文摘In this paper,we first give a direct sum decomposition of Lie comodules,and then accord-ing to the Lie comodule theory,construct some(triangular)Lie bialgebras through Lie coalgebras.
