On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra-Reference-Cited by-同舟云学术

On a bilinear form on the universal enveloping algebra of a complex semisimple Lie algebra

Published:1973 Issue:4 Volume:6 Page:307-312
ISSN:0016-2663
Container-title:Functional Analysis and Its Applications
language:en
Short-container-title:Funct Anal Its Appl

Author:

Shapovalov N. N.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/content/pdf/10.1007/BF01077650.pdf

Reference5 articles.

1. I. N. Bernshtein, I. M. Gel'fand, and S. I. Gel'fand, "The structure of representations generated by vectors of the highest weight," Funktsional. Analiz i ego Prilozhen.,5, No. 1, 1?9 (1971).

2. I. M. Gel'fand and A. A. Kirillov, "The structure of the Lie field connected with a semisimple decomposable Lie algebra," Funktsional. Analiz i ego Prilozhen.,3, No. 1, 7?26 (1969).

3. K. R. Parthasarathy, R. Ranga Rao, and V. S. Varadarajan, "Representations of complex semisimple Lie groups and Lie algebras," Ann. Math.,85, 383?429 (1967).

4. Theory of Lie Algebras. Topology of Lie Groups [in Russian], IL, Moscow (1962).

5. N. Jacobson, Lie Algebras, Interscience, New York (1962).

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