Published May 1990
| Version v1
Journal article
Infinite-dimensional algebras and a trigonometric basis for the classical Lie algebras
Creators
- 1. Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, England (UK)
- 2. High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (USA)
Description
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 (AN, BN, CN, DN) 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
Additional details
Publishing Information
- Journal Title
- Journal of Mathematical Physics (New York)
- Journal Volume
- 31
- Journal Issue
- 5
- Series
- J. Math. Phys. (N.Y.).
- Journal Page Range
- 1088-1094
- ISSN
- 0022-2488
- CODEN
- JMAPA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 21059813
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CASIMIR OPERATORS; CLASSICAL MECHANICS; FUNCTIONS; LIE GROUPS; MANY-DIMENSIONAL CALCULATIONS; SUPERSYMMETRY
- Descriptors DEC
- MATHEMATICAL OPERATORS; MECHANICS; SYMMETRY; SYMMETRY GROUPS