路余代数上的Hopf ε-代数

摘要

Assume that q is not a unity. In this paper, the quantum algebra Uq (sl2) as well as the superalgebra Uq(osp(2, 1)) are realized by the quotient of algebra on double path coalgebra (-kA∞c∞).%在q不为单位根时,本文用无限简图A∞∞的double路余代数k(A∞c∞)的商代数同时实现了量子代数Uq(sl2)以及量子超代数Uq(ops(2,1)).