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Modules overmathfrak{U}_q (mathfrak{s}mathfrak{l}_2 )
Authors:Ruedi Suter
Affiliation:(1) Mathematikdepartement, ETH Zentrum, CH-8092 Zürich, Switzerland
Abstract:The restricted quantum universal enveloping algebra
$$mathfrak{U}_q (mathfrak{s}mathfrak{l}_2 )$$
decomposes in a canonical way into a direct sum of indecomposable left (or right) ideals. They are useful for determining the direct summands which occur in the tensor product of two simple
$$mathfrak{U}_q (mathfrak{s}mathfrak{l}_2 )$$
. The indecomposable finite-dimensional
$$mathfrak{U}_q (mathfrak{s}mathfrak{l}_2 )$$
are classified and located in the Auslander-Reiten quiver.
Keywords:
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