Invariant Operators of the Unitary Unimodular Group in n Dimensions
Journal Article
·
· Journal of Mathematical Physics
An elementary derivation,is given of Biedenharn's construction of a complete set of independent invariants for the group SU(n). The basic tool is the mapping of the adjoint representation onto the linear space of generators in the defining representation. The trace of any algebraic function of the matrix thus associated is seen to constitute an invariant of the adjoint representation and yields by substitution an invariant operator. The independent invariants are recognized by their isomorphy to the invariant forms under the permutation group. (auth)
- Research Organization:
- Univ. of Pennsylvania, Philadelphia
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-037950
- OSTI ID:
- 4658662
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 4; ISSN JMAPAQ; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
Similar Records
On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in N Dimensions
Invariant differential operators for non-compact Lie groups: The main su(n, n) cases
Invariant operators of inhomogeneous unitary group
Journal Article
·
Mon Dec 31 23:00:00 EST 1962
· Journal of Mathematical Physics
·
OSTI ID:4714149
Invariant differential operators for non-compact Lie groups: The main su(n, n) cases
Journal Article
·
Thu Aug 15 00:00:00 EDT 2013
· Physics of Atomic Nuclei
·
OSTI ID:22212680
Invariant operators of inhomogeneous unitary group
Journal Article
·
Mon Dec 31 23:00:00 EST 1973
· Ann. Inst. Henri Poincare, Sect. A, v. 21, no. 4, pp. 341-345
·
OSTI ID:4100841