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Normal forms for elements of o(p, q) and Hamiltonians with integrals linear in momenta

Published online by Cambridge University Press:  17 February 2009

Gerard Thompson
Gerard Thompson
Affiliation:
The University of Toledo, Department of Mathematics, Toledo, OhioU.S.A.43606.
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Abstract

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We solve the problem of finding a simultaneous matrix normal form for an element of the Lie algebra o(p, q) and the underlying indefinite inner product. The results are used to determine several classes of classical Hamiltonian dynamical systems which possess a first integral linear in the momentum variables.

Type
Research Article
Information
The ANZIAM Journal , Volume 33 , Issue 4 , April 1992 , pp. 486 - 507
Copyright
Copyright © Australian Mathematical Society 1992

References

[1] Burgoyne, N. and Cushman, R., “Conjugacy Classes in Linear Groups,” J. Algebra 44 (1977), 339–362.CrossRefGoogle Scholar
[2] Greub, W., Linear algebra, 4th Ed., (Springer GTM, #23, 1976).Google Scholar
[3] Wolf, J., Spaces of Constant Curvature, (Publish or Perish, Boston, Mass. 1974).Google Scholar