A note on the tensor product of restricted simple modules for algebraic groups
De Visscher, M. (2006). A note on the tensor product of restricted simple modules for algebraic groups. Journal of Algebra, 303(1), pp. 407-415. doi: 10.1016/j.jalgebra.2005.06.010
Abstract
Let G be a semisimple simply connected algebraic group over an algebraically closed field of positive characteristic p. Denote by G1 its first Frobenius kernel. In this note, we determine for which group G the restriction to G1 of any indecomposable G-summand of the tensor product of any two restricted simple G-modules remains indecomposable.
| Publication Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Departments: | School of Science & Technology > Mathematics |
| SWORD Depositor: |
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