A noncommutative differential calculus on the -superplane is presented via a contraction of the -superplane. An R-matrix which satisfies both ungraded and graded Yang–Baxter equations is obtained and a new deformation of the -dimensional classical phase space (the super-Heisenberg algebra) is introduced.
REFERENCES
1.
V. G. Drinfeld, Proceedings of the IMS, Berkeley, CA, 1986 (unpublished);
Yu I. Manin, Quantum Groups and Non-Commutative Geometry (CRM, Montreal University Press, 1988).
2.
A. Connes, Non-Commutative Geometry (Academic, London, 1994).
3.
E.
Corrigan
, B.
Fairlie
, P.
Fletcher
, and R.
Sasaki
, J. Math. Phys.
31
, 776
(1990
).4.
5.
6.
7.
8.
L.
Dabrowski
and P.
Parashar
, Lett. Math. Phys.
38
(1996
).9.
10.
A.
Aghamohammadi
, M.
Khorrami
, and A.
Shariati
, J. Phys. A
28
, L225
(1995
);11.
M.
Chaichian
, P.
Kulish
, and J.
Lukierski
, Phys. Lett. B
262
, 43
(1991
).12.
This content is only available via PDF.
© 1998 American Institute of Physics.
1998
American Institute of Physics
You do not currently have access to this content.
