Indecomposable restricted representations of quantum \(sl_ 2\)
type: Item
instance of: scholarly article
title: Indecomposable restricted representations of quantum \(sl_ 2\)
zbMATH Open document ID: 0816.17007
author: Vyjayanthi Chari
author: Alexander Premet
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1994-08-21T00:00:00Z
review text: Here the authors determine all indecomposable representations for the Frobenius kernel in \(U_ q ({\mathfrak {sl}}_ 2)\), the quantized enveloping algebra for \({\mathfrak {sl}}_ 2\) at a root of unity \(q\). The results are analogous to the result for the modular Lie algebra \({\mathfrak {sl}}_ 2\) [cf. e.g., \textit{A. N. Rudakov}, Mosc. Univ. Math. Bull. 37, No. 6, 51-56 (1982); transl. from Vestn. Mosk. Univ., Ser. I 1982, No. 6, 45-49 (1982; Zbl 0506.17004)].
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 621964
zbMATH Keywords: quantum groups
zbMATH Keywords: restricted representations
zbMATH Keywords: indecomposable representations
zbMATH Keywords: Frobenius kernel
zbMATH Keywords: root of unity
reviewed by: Henning Haahr Andersen
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195166137
OpenAlex ID: W1604589878
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DOI: 10.2977/PRIMS/1195166137
description: scientific article; zbMATH DE number 621964