科研之友
微信
新浪微博
Facebook
分享链接
摘要
We construct an action of the Lie superalgebras (gl(m vertical bar n)) over cap (C-q) on the tensor product of the polynomial algebra and the exterior algebra with infinitely many variables. This construction is involving one parameter mu and we show that it is irreducible if and only if mu is nonzero. We also discuss the module structure and irreducibility over a Lie subsuperalgebra graded by the root system A(m - 1, n - 1).
