We construct the tableaux realization of generalized Verma modules over the Lie algebra $\sl(3,{\bbd C})$. By the same procedure we construct and investigate the structure of a new family of generalized Verma modules over $\sl(n,{\bbd C})$.

MSC Classifications:

17B35, 17B10 show english descriptions Universal enveloping (super)algebras [See also 16S30]
Representations, algebraic theory (weights) 17B35 - Universal enveloping (super)algebras [See also 16S30]
17B10 - Representations, algebraic theory (weights)

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