A class of finite-dimensional representations of U^sub q^(sl2)

In order to study a class of finite-dimensional representations of U ^sub q^(sl ^sub 2^), we deal with the quotient algebra U ^sub q^(m, n, b) of quantum group U ^sub q^(sl ^sub 2^) with relations K ^sup r^ = 1, E ^sup mr^ = b, F ^sup nr^ = 0 in this paper, where q is a root of unity. The algebra U...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 29; no. 9; p. 1703
Main Authors Cheng, Dong Ming, Su, Dong
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.09.2013
Subjects
Algebra
Decomposition
Eigenvectors
Mathematical models
Mathematics
Studies
Theorems
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Summary:In order to study a class of finite-dimensional representations of U ^sub q^(sl ^sub 2^), we deal with the quotient algebra U ^sub q^(m, n, b) of quantum group U ^sub q^(sl ^sub 2^) with relations K ^sup r^ = 1, E ^sup mr^ = b, F ^sup nr^ = 0 in this paper, where q is a root of unity. The algebra U ^sub q^(m, n, b) is decomposed into a direct sum of indecomposable (left) ideals. The structures of indecomposable projective representations and their blocks are determined. [PUBLICATION ABSTRACT]
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-013-2290-1