Extension and replacement bases for semisimple Lie algebras
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
Two simple prescriptions are given for obtaining sets of orthogonal bases for semisimple Lie algebras. The first method allows one to obtain the irreducible representations of all the simple Lie algebras, starting from SU(2) and Dynkin's method for constructing representations from simple roots and highest weights. The second method relates algebras of the same rank. Several examples are discussed. A method is given for listing the bases that may be obtained from the prescriptions.
- Research Organization:
- Department of Physics, Purdue University, West Lafayette, Indiana 47907
- OSTI ID:
- 6093381
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 27:4; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
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