Spectrum of the Dirac operator on Gr{sub 2}(C{sup m+2})

Journal Article · Thu Jan 01 00:00:00 EST 1998 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532324· OSTI ID:573753

Milhorat, J ^[1]

---

1. Departement de Mathematiques, Universite de Nantes, UMR CNRS 6629, 44322 Nantes Cedex 03 (France)

The spectrum of the Dirac operator, acting on the quaternion-Kaehler spin symmetric space Gr{sub 2}(C{sup m+2}), is explicitly computed by harmonic analysis methods: in particular `branching rules` for irreducible representations of the Lie group SU(m+2) and its subgroup S(U(m){times}U(2)), are given. {copyright} {ital 1998 American Institute of Physics.}

• OSTI ID: 573753
• Journal Information: Journal of Mathematical Physics, Vol. 39, Issue 1; Other Information: PBD: Jan 1998
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DIRAC EQUATION
MATHEMATICAL OPERATORS
DIRAC OPERATORS
SPECTRA
SPIN
HARMONIC OSCILLATORS
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
SU GROUPS
U-2 GROUPS