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On Lie algebra extensions in a symplectic framework

J. Math. Phys. 38, 3768 (1997); doi:10.1063/1.532075

Issue Date: July 1997

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Javier Fernandez
Departamento de Matemática—Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires—Argentina

Marcela Zuccalli
Departamento de Matemática—Facultad de Ciencias Exactas, Universidad Nacional de La Plata, 1900—La Plata—Argentina
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
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KEYWORDS and PACS

Keywords
PACS
  • 02.20.Sv
    Mathematical methods in physics Group theory Lie algebras of Lie groups
  • 02.10.Sp
    Mathematical methods in physics Logic, set theory, and algebra Linear and multilinear algebra; matrix theory (finite and infinite)
  • YEAR: 1996-97

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
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REFERENCES (7)

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  1. R. Abraham, and J., Marsden Foundations of Mechanics (Benjamin Cummings, Reading, 1978).
  2. J. F. Cariñena and L. A. Ibort, J. Math. Phys. 29, 541–545 (1988).
  3. T. Inamoto, Phys. Rev. D 45, 1276–1290 (1992).
  4. L. D. Faddeev and S. L. Shatashvili, Phys. Lett. B 167, 225–228 (1986).
  5. J. Mickelsson, Current Algebras and Groups (Plenum, New York, 1989).
  6. H. Cartan and S. Eilenberg, Homological Algebra (Princeton University Press, Princeton, 1956).
  7. A. Pressley and G. Segal, Loop Groups (Oxford University Press, Oxford, 1988).

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