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Mar 11, 2016 at 10:59 vote accept Gary
Mar 11, 2016 at 7:01 comment added Gary Thank you so much. Actually, this is a question someone asked me. And I thought it is so obviously that I told him I would give him an answer in a short time. But now 2 days past, I didn't prove it until you show up. Today I can go to see her. Thanks a lot. Actually, I am considering that the similar question comes out naturally for a more general setting. Let A be a finite dimensional algebra over $k$, B is a sub algebra. Then can we find a condition for B such that all indecomposable (finite dimensional ) module for A is still indecomposable (finite dimensional ) module when restricted to B?
Mar 10, 2016 at 17:10 history answered Jim Humphreys CC BY-SA 3.0