Polynomial realization of the Uq(sl(3)) Gel'fand–(Weyl)–Zetlin basis
An explicit realization of the Uq(sl(3)) Gel'fand–(Weyl)–Zetlin (GWZ) basis as polynomial functions in three variables (real or complex) is given. This realization is obtained in two complem...
An explicit realization of the Uq(sl(3)) Gel'fand–(Weyl)–Zetlin (GWZ) basis as polynomial functions in three variables (real or complex) is given. This realization is obtained in two complem...
The perturbed Korteweg–de Vries equation considered anew
The perturbed Korteweg–de Vries equation is studied in a new way by a Green's function formalism without use of inverse scattering methods. The Green's function is determined by employing the B&a...
The perturbed Korteweg–de Vries equation is studied in a new way by a Green's function formalism without use of inverse scattering methods. The Green's function is determined by employing the B&a...
On Lie algebra extensions in a symplectic framework
J. Math. Phys. 38, 3768 (1997); doi:10.1063/1.532075
Issue Date: July 1997
You are not logged in to this journal. Log in
It is shown that the construction carried out by Cariñena and Ibort [J. Math. Phys. 29, 541–545 (1988)] involving nonsymplectic actions of Lie groups gives rise to "true" noncentral extensions of the corresponding Lie algebras. ©1997 American Institute of Physics.
| History: | Received 9 January 1997; accepted 31 March 1997 |
| Permalink: |
http://link.aip.org/link/?JMAPAQ/38/3768/1 |
| BUY THIS ARTICLE | (US$28) |
|
|
Connotea
CiteULike
del.icio.us
BibSonomy
KEYWORDS and PACS
PUBLICATION DATA
0022-2488 (print)
1089-7658 (online)
AIP
REFERENCES (7)
For access to fully linked references, you need to log in.
For access to fully linked references, you need to Log in.
- R. Abraham, and J., Marsden Foundations of Mechanics (Benjamin Cummings, Reading, 1978).
- J. F. Cariñena and L. A. Ibort, J. Math. Phys. 29, 541–545 (1988).
- T. Inamoto, Phys. Rev. D 45, 1276–1290 (1992).
- L. D. Faddeev and S. L. Shatashvili,
Phys. Lett. B 167, 225–228 (1986 ). - J. Mickelsson, Current Algebras and Groups (Plenum, New York, 1989).
- H. Cartan and S. Eilenberg, Homological Algebra (Princeton University Press, Princeton, 1956).
- A. Pressley and G. Segal, Loop Groups (Oxford University Press, Oxford, 1988).
