The restricted quantum universal enveloping algebra U(q)(sl2) 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 U(q)(sl2)-modules. The indecomposable finite-dimensional U(q)(sl2)-modules are classified and located in the Auslander-Reiten quiver.
机构:
St. Petersburg Department of the Steklov Mathematical Institute, St. PetersburgSt. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg
机构:
Hiroshima Univ, Fac Integrated Arts & Sci, Dept Math, Higashihiroshima 739, JapanHiroshima Univ, Fac Integrated Arts & Sci, Dept Math, Higashihiroshima 739, Japan