Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras
- 1 May 1990
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 31 (5) , 1088-1094
- https://doi.org/10.1063/1.528788
Abstract
This paper explores features of the infinite‐dimensional algebras that have been previously introduced. In particular, it is shown that the classical simple Lie algebras (A N , B N , C N , D N ) may be expressed in an ‘‘egalitarian’’ basis with trigonometric structure constants. The transformation to the standard Cartan–Weyl basis, and the particularly transparent N→∞ limit that this formulation allows is provided.Keywords
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