Using a matrix realization, generic elements of the supergroups U(m/n) and OSP(m/2n) are obtained through the exponentiation of the corresponding super Lie algebra elements. The emphasis is put on the contribution of the odd part. The application to the factorization problem is given, and the relationship with nonlinear differential superequations is clarified.
REFERENCES
1.
2.
3.
E. D’Hoker, L. Vinet, and V. A. Kostelecký, Dynamical Groups and Spectrum Generating Algebras, edited by A. Barut, A. Bohm, and Y. Ne’eman (World Scientific, Singapore, 1987);
4.
5.
6.
B. Kostant, Lecture Notes in Mathematics, Vol. 570 (Springer, New York, 1977), p. 617.
7.
8.
V. A.
Kostelecký
, M. M.
Nieto
, and D. R.
Truax
, J. Math. Phys.
27
, 1419
(1986
).9.
B. W.
Fatyga
, V. A.
Kostelecký
, and D. R.
Truax
, J. Math. Phys.
30
, 291
(1989
).10.
A. B.
Balantekin
, H. A.
Schmitt
, and B. R.
Barrett
, J. Math. Phys.
29
, 1634
(1988
);A. B.
Balantekin
, H. A.
Schmitt
, and P.
Halse
, J. Math. Phys.
30
, 274
(1989
)., J. Math. Phys.
11.
B. W.
Fatyga
, V. A.
Kostelecký
, M. M.
Nieto
, and D. R.
Truax
, Phys. Rev. D
43
, 1403
(1991
).12.
M.
Chaichian
, D.
Ellinas
, and P.
Prešnajder
, J. Math. Phys.
32
, 3381
(1991
).13.
14.
A. M. Perelomov, Generalized Coherent States and Their Applications (Springer-Verlag, Berlin, 1986).
15.
J.
Beckers
, L.
Gagnon
, V.
Hussin
, and P.
Winternitz
, Lett. Math. Phys.
13
, 113
(1987
);J.
Beckers
, L.
Gagnon
, V.
Hussin
, and P.
Winternitz
, J. Math. Phys.
31
, 2528
(1990
).16.
J. F. Cornwell, Group Theory in Physics (Academic, New York, 1989), Vol. III.
17.
B. DeWitt, Supermanifolds (Cambridge University, Cambridge, 1984).
18.
N. Hamermesh, Group Theory (Addison-Wesley, New York, 1964).
19.
V. A. Kostelecký, M. M. Nieto, and D. R. Truax, Supersqueezed States (to be published in Phys. Rev. A).
This content is only available via PDF.
© 1993 American Institute of Physics.
1993
American Institute of Physics
You do not currently have access to this content.
