弱Hopf超代数wsl_q^d(m|n)

Weak Hopf Superalgebras wsl_q^d(m|n)

该文依据弱Hopf代数的定义给出弱Hopf超代数的定义.进而利用弱反极取代Hopf代数中反极的方法,构造一类不是Hopf超代数的弱Hopf超代数wsl_q^d(m|n),并给出了wsl_q^d(m|n)的PBW基.

Along the idea of definition of a weak Hopf algebra in the sense of a bialgebra attached with a weak antipode, we give a definition of weak Hopf superalgebra. As an example, a class of weak Hopf superalgebras but not Hopf superalgebras wslq^d（m｜n） is constructed. The PBW basis of wslq^d（m｜n） is described.