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arxiv: 0712.2122 · v2 · submitted 2007-12-13 · 🧮 math.RT

On the existence of homomorphisms between principal series of complex semisimple Lie groups

classification 🧮 math.RT
keywords complexexistencehomomorphismsprincipalsemisimpleseriesdeterminedetermines
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We determine when there exists a nonzero homomorphism between principal series representations of a complex semisimple Lie group. We also determines the existence of homomorphisms between twisted Verma modules.

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