Connected Order 3 Standard Representations of Simple Lie Algebras
Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 381-383
Voir la notice de l'article provenant de la source Cambridge University Press
The concept of standard representations of simple Lie algebras was introduced by I. Z. Bouwer [1], One of the difficulties was that of existence. The order zero standard representations are simply those having a dominant weight vector and these have been completely characterized, for example in [2].
Connected Order 3 Standard Representations of Simple Lie Algebras. Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 381-383. doi: 10.4153/CMB-1974-070-8
@misc{10_4153_CMB_1974_070_8,
title = {Connected {Order} 3 {Standard} {Representations} of {Simple} {Lie} {Algebras}},
journal = {Canadian mathematical bulletin},
pages = {381--383},
year = {1974},
volume = {17},
number = {3},
doi = {10.4153/CMB-1974-070-8},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-070-8/}
}
[1] 1. Bouwer, I. Z., Standard Representations of Simple Lie Algebras, Can. J. Math. 20 (1968), 344-361. Google Scholar
[2] 2. Harish-Chandna, , Some Applications of the Universal Enveloping Algebra of a Semi-Simple Lie Algebra, Trans. Amer. Math. Soc. 70 (1951), 28-96. Google Scholar
[3] 3. Lemire, F. W., One-dimensional Representations of the Cycle Subalgebra of a Semi-Simple Lie Algebra, Canad. Math. Bull. 13 (1970), 463-467. Google Scholar
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