On Ext-transfer for reductive Lie algebras. (English) Zbl 1394.17017
Summary: Let \(G\) be a connected reductive algebraic group over an algebraically closed field of prime characteristic \(p\) and \(\mathfrak{g}\) be the Lie algebra of \(G\). In this paper, we study the representations of when \(p\)-character has standard Levi form. An Ext-transfer from the Ext-groups of induced \(\mathfrak{g}\)-modules to its Levi subalgebras is obtained. Furthermore, we reduce the computation of the multiplicities of simple factors in baby Verma modules over to its Levi subalgebras.
MSC:
| 17B10 | Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) |
| 17B20 | Simple, semisimple, reductive (super)algebras |
| 17B35 | Universal enveloping (super)algebras |
| 17B50 | Modular Lie (super)algebras |
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