A class of finite-dimensional representations of Uq(sl2)

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作者
Dong Ming Cheng
Dong Su
机构
[1] He’nan University of Science and Technology,Department of Mathematics and Applied Mathematics
关键词
Quantum group; representation; root of unity; 16W30; 22E70;
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摘要
In order to study a class of finite-dimensional representations of Uq(sl2), we deal with the quotient algebra Uq(m, n, b) of quantum group Uq(sl2) with relations Kr = 1, Emr = b, Fnr = 0 in this paper, where q is a root of unity. The algebra Uq(m, n, b) is decomposed into a direct sum of indecomposable (left) ideals. The structures of indecomposable projective representations and their blocks are determined.
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页码:1703 / 1712
页数:9
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