TY - GEN A1 - Wolf, Thomas T1 - Integrable quadratic Hamiltonians with a linear Lie-Poisson bracket N2 - Quadratic Hamiltonians with a linear Lie-Poisson bracket have a number of applications in mechanics. For example, the Lie-Poisson bracket $e(3)$ includes the Euler-Poinsot model describing motion of a rigid body around a fixed point under gravity and the Kirchhoff model describes the motion of a rigid body in ideal fluid. Advances in computer algebra algorithms, in implementations and hardware, together allow the computation of Hamiltonians with higher degree first integrals providing new results in the search for integrable models. A computer algebra module enabling related computations in a 3-dimensional vector formalism is described. T3 - ZIB-Report - 05-07 KW - Hamilton systems KW - Integrability KW - Computer algebra Y1 - 2005 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/841 UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-8414 ER -