Eigenvalues of the Casimir operators of the orthogonal and symplectic groups
- 1 August 1976
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 17 (8) , 1611-1616
- https://doi.org/10.1063/1.523082
Abstract
Eigenvalues of the Casimir operators of the orthogonal and the symplectic groups are obtained in closed and simple form by diagonalizing directly the matrices introduced by Perelomov and Popov. This method unifies the treatment of the problem for the semisimple Lie groups.Keywords
This publication has 4 references indexed in Scilit:
- Eigenvalues of the invariant operators of the orthogonal and symplectic groupsJournal of Mathematical Physics, 1975
- Algebraic identities among U (n) infinitesimal generatorsJournal of Mathematical Physics, 1975
- Canonical Unit Adjoint Tensor Operators in U(n)Journal of Mathematical Physics, 1970
- Recent Progress Toward a Theory of Tensor Operators in the Unitary GroupsAmerican Journal of Physics, 1970