On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in N Dimensions
Journal Article
·
· Journal of Mathematical Physics
A symmetric vector-coupling coefficient for the semisimple Lie group SUn is defined and explicitly determined. These coefficients are utilized to construct a series of canonical invariants for SUn, of which the first I2 is the familiar Casimir invariant, and it is proven that these invariants form a complete system of independent invariants suitable for uniquely labeling the irreducible inequivalent representations of SUn.
- Research Organization:
- Duke Univ., Durham, N.C.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-022084
- OSTI ID:
- 4714149
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 3 Vol. 4; ISSN JMAPAQ; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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