No CrossRef data available.
Article contents
Connected Order 3 Standard Representations of Simple Lie Algebras
Published online by Cambridge University Press: 20 November 2018
Extract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
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].
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1974
References
1.
Bouwer, I. Z., Standard Representations of Simple Lie Algebras, Can. J. Math.
20 (1968), 344-361.Google Scholar
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.
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
You have
Access