A refinement of the PRV conjecture
Copyright policy )A refinement of the PRV conjecture
Let \({\mathfrak g}\) be a complex semi-simple Lie algebra. The PRV-conjecture [proved by the author in Invent. Math. 93, No.1, 117-130 (1988; Zbl 0668.17008)] says that certain composition factors occur in the tensor product of two finite dimensional simple \({\mathfrak g}\)-modules. The refinement proved in the present paper gives a lower bound for the multiplicities of these composition factors.
- DigiZeitschriften Germany
- Tata Institute of Fundamental Research India
Homogeneous spaces and generalizations, 510.mathematics, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), PRV- conjecture, tensor product of simple modules, lower bound for the multiplicities, composition factors, Article, Simple, semisimple, reductive (super)algebras, semi-simple Lie algebra
Homogeneous spaces and generalizations, 510.mathematics, Representations of Lie algebras and Lie superalgebras, algebraic theory (weights), PRV- conjecture, tensor product of simple modules, lower bound for the multiplicities, composition factors, Article, Simple, semisimple, reductive (super)algebras, semi-simple Lie algebra
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