Gauge theory on nonassociative spaces

Journal of Mathematical Physics

Volumn 46, Issue 10, 2005, Pages

  Majid, S ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 27844593366     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2084747     Document Type: Article

References (20)

1. Akrami, E., and Majid, S., " Braided cyclic cohomology and nonassociative geometry., " J. Math. Phys. 45, 3883-3911 (2004).
2. Albuquerque, H., and Majid, S., " Quasialgebra structure of the octonions., " J. Algebra 220, 188-224 (1999).
3. Albuquerque, H., and Majid, S., " Zn -quasialgebras., " Textos de Mat. de Coimbra Ser. B 19, 57-64 (1999).
4. Albuquerque, H., and Majid, S., " Clifford algebras obtained by twisting of group algebras., " J. Pure Appl. Algebra 171, 133-148 (2002).
5. Beggs, E. J., and Majid, S., " Semiclassical differential structures., " Pac. J. Math., in press.
6. Beggs, E. J., and Majid, S., " Quantization by cochain twists and nonassociative differentials., " Preprint math.QA0506450.
7. Bernevig, B., Hu, J., Toumbas, N., and Zhang, S.-C., " Eight-dimensional quantum Hall effect and 'octonions', " Phys. Rev. Lett. 91, 236803 (2003).
8. Connes, A., Noncommutative Geometry (Academic, New York, 1994).
9. Cornalba, L., and Schiappa, R., " Nonassociative star product deformations for D-brane world volumes in curved backgrounds., " Commun. Math. Phys. 225, 33-36 (2002).
10. Dixon, G., Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics (Kluwer, Dordrecht, The Netherlands, 1994).
11. Drinfeld, V. G., " QuasiHopf algebras., " Leningrad Math. J. 1, 1419-1457 (1990).
12. Ho, P. M., and Ramgoolam, S., " Higher dimensional geometries from matrix brane constructions., " Nucl. Phys. B 627, 266 (2002).
13. Majid, S., " Diagrammatics of braided group gauge theory., " J. Knot Theory Ramif. 8, 731-771 (1999).
14. Majid, S., " Some remarks on quantum and braided group gauge theory., " Banach Cent Publ. 40, 335-349 (1997).
15. Majid, S., Foundations of Quantum Group Theory (Cambridge University Press, Cambridge, UK, 1995).
16. Majid, S., " Noncommutative differentials and Yang-Mills on permutation groups SN., " Lecture Notes Pure Applied Mathematics, Vol. 239 (Marcel Dekker, New York, 2004), pp. 189-214.
17. Majid, S., " Noncommutative physics on Lie Algebras, Z2n lattices and Clifford algebras., " In Clifford Algebras: Application to Mathematics, Physics, and Engineering, edited by, R. Ablamowicz, (Birkhauser, Boston, 2003), pp. 491-518.
18. Majid, S., and Raineri, E., " Electromagnetism and gauge theory on the permutation group S3., " J. Geom. Phys. 44, 129-155 (2002).
19. Ramgoolam, S., " On spherical harmonics for fuzzy spheres in diverse dimensions., " Nucl. Phys. B 610, 461 (2001).
20. Ramgoolam, S., " Towards gauge theory for a class of commutative and non-associative fuzzy spaces., " Preprint hep-th0310153.