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Tableaux Realization of Generalized Verma Modules

Published online by Cambridge University Press:  20 November 2018

Volodymyr Mazorchuk
Volodymyr Mazorchuk*
Affiliation:
Mechanics and Mathematics Department, Kyiv Taras Shevchenko University, 64, Volodymyrska st. 252033 Kyiv, Ukraine
*
e-mail: mazorchu@uni-alg.kiev.ua
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Abstract

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

Keywords

17B3517B10
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 50 , Issue 4 , 01 August 1998 , pp. 816 - 828
Copyright
Copyright © Canadian Mathematical Society 1998

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