Invariants of generalized Lie algebras
Conference
·
· Hadronic J.; (United States)
OSTI ID:6934963
Invariants and invariant multilinear forms are defined for generalized Lie algebras with arbitrary grading and commutation factor. Explicit constructions of invariants and vector operators are given by contracting invariant forms with basic elements of the generalized Lie algebra. The use of the matrix of a linear map between graded vector spaces is emphasized. With the help of this matrix, the concept of graded trace of a linear operator is introduced, which is a rich source of multilinear forms of degree zero. To illustrate the use of invariants, a characteristic identity similar to that of Green is derived and a few Racah coefficients are evaluated in terms of invariants.
- Research Organization:
- Univ. of Pittsburgh, PA
- OSTI ID:
- 6934963
- Report Number(s):
- CONF-8008162-
- Conference Information:
- Journal Name: Hadronic J.; (United States) Journal Volume: 4:2
- Country of Publication:
- United States
- Language:
- English
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