A representation of spin(4) on the eigenspinors of the dirac operator on S3

Tokyo Journal of Mathematics

Volumn 23, Issue 2, 2000, Pages 453-472

  Homma, Yasushi ^a  

^a WASEDA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24944494480     PISSN: 03873870     EISSN: None     Source Type: Journal    
DOI: 10.3836/tjm/1255958682     Document Type: Article

References (13)

1. M. F. ATIYAH, R. BOTT and A. SHAPIRO, Clifford Modules, Topology 3 (1964), 3-38.
2. M. F. ATIYAH, V. K. PATODI and I. M. SINGER, Spectral asymmetry and Riemannian geometry: I, Math. Proc. Cambridge Philos. Soc. 77 (1975), 43-69.
3. C. BÄR, The Dirac operator on homogeneous spaces and its spectrum on 3-dimensional lens spaces, Arch. Math. 59 (1992), 65-79.
4. B. BOOSS-BAVNBEK and K.-P. WOJCIECHOWSKI, Elliptic boundary problems for Dirac operators, Birkhäuser (1993).
5. J. E. GILBERT and M. A. M. MURRAY, Clifford algebras and Dirac operators in harmonic analysis, Cambridge Stud. Adv. Math. 26 (1991).
6. P. B. GILKEY, Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Iheorem, Publish or Perish (1984), new revised edition: CRC Pr. (1995).
7. N. HITCHIN, Harmonic spinors, Adv. in Math. 14 (1974), 1-55.
8. 3 and its central extension, J. Math. Kyoto Univ. 36 (1996), 45-60.
9. 3, Japan. J. Math. 22 (1996), 1-36.
10. H. B. LAWSON and M. L. MICHELSOHN, Spin Geometry, Pninceton Univ. Press (1989).
11. J. MICKELSSON, Current Algebras and Grvups, Plenum Press (1989).
12. J. R. SCHMIDT, Chiral asymmetry and the Atiyah-Patodi-Singer index for the Dirac operator on a fourdimensional ball, Phys. Rev. D. 36 (1987), 2539-2544.
13. N. R. WALLACH, Hamonic analysis on homogeneous spaces, Marcel Dekker (1973).