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Author:

Yang ShiLin (Yang ShiLin.) (Scholars:杨士林) | Liu JianZhen (Liu JianZhen.)

Indexed by:

Scopus SCIE

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:

preprojective algebra quantum group indecomposable representation

Author Community:

  • [ 1 ] [Yang ShiLin]Beijing Univ Technol, Dept Appl Math, Beijing 100024, Peoples R China
  • [ 2 ] [Liu JianZhen]Beijing Univ Technol, Dept Appl Math, Beijing 100024, Peoples R China

Reprint Author's Address:

  • 杨士林

    [Yang ShiLin]Beijing Univ Technol, Dept Appl Math, Beijing 100024, Peoples R China

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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

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