Deformations of vector fields and Hamiltonian vector fields on the plane
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- by Nico van den Hijligenberg, Youri Kotchetkov and Gerhard Post PDF
- Math. Comp. 64 (1995), 1215-1226 Request permission
Abstract:
For the Lie algebras ${L_1}(H(2))$ and ${L_1}(W(2))$, we study their infinitesimal deformations and the corresponding global ones. We show that, as in the case of ${L_1}(W(1))$, each integrable infinitesimal deformation of ${L_1}(H(2))$ and ${L_1}(W(2))$ can be represented by a 2-cocycle that defines a global deformation by means of a trivial extension. We also illustrate that all deformations of ${L_1}(H(2))$ arise as restrictions of deformations of ${L_1}(W(2))$.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Math. Comp. 64 (1995), 1215-1226
- MSC: Primary 17B66; Secondary 17B56
- DOI: https://doi.org/10.1090/S0025-5718-1995-1297480-5
- MathSciNet review: 1297480