Indexed by:
Abstract:
Let (Gamma, I) be the bound quiver of a cyclic quiver whose vertices correspond to the Abelian group Z(d). In this paper, we list all indecomposable representations of (Gamma, I) and give the conditions that those representations of them can be extended to representations of deformed preprojective algebra. Pi(lambda)(Gamma, I). It is shown that those representations given by extending indecomposable representations of (Gamma, I) are all simple representations of Pi(lambda)(Gamma, I). Therefore, it is concluded that all simple representations of restricted quantum group (U) over barq(sl(2)) are realized in terms of deformed preprojective algebra.
Keyword:
Reprint Author's Address:
Email:
Source :
SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN: 1006-9283
Year: 2009
Issue: 1
Volume: 52
Page: 109-118
JCR Journal Grade:3
Cited Count:
WoS CC Cited Count: 1
SCOPUS Cited Count: 2
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 7
Affiliated Colleges: