Structure of the tensor product of two simple modules of quantum $GL_2
In this article, we consider the tensor product of two simple modules of quanum $GL_2$ over a field of characteristic $p\neq 0$. We show that it can be expressed as a direct sum of indecomposable twisted tilting modules. This problem has been studied by Henke and Doty [1] for $SL_2$ and also later o...
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| Main Author | |
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| Format | Journal Article |
| Language | English |
| Published |
13.05.2021
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| Subjects | |
| Online Access | Get full text |
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| Summary: | In this article, we consider the tensor product of two simple modules of
quanum $GL_2$ over a field of characteristic $p\neq 0$. We show that it can be
expressed as a direct sum of indecomposable twisted tilting modules. This
problem has been studied by Henke and Doty [1] for $SL_2$ and also later on for
$SL_3$ by S R Doty, Chris Bowman and Stuart Martin, ([7, 8]). |
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| DOI: | 10.48550/arxiv.2105.06615 |