数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2007年
3期
258-265
,共8页
Hopf ε-代数%路余代数%量子群
Hopf ε-代數%路餘代數%量子群
Hopf ε-대수%로여대수%양자군
Hopf ε-algebra%path coalgebra%quantum group
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)).
在q不為單位根時,本文用無限簡圖A∞∞的double路餘代數k(A∞c∞)的商代數同時實現瞭量子代數Uq(sl2)以及量子超代數Uq(ops(2,1)).
재q불위단위근시,본문용무한간도A∞∞적double로여대수k(A∞c∞)적상대수동시실현료양자대수Uq(sl2)이급양자초대수Uq(ops(2,1)).
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∞).