The explicit form of the Lie algebra of Wahlquist and Estabrook. A presentation problem

@inproceedings{Eck1983TheEF,
  title={The explicit form of the Lie algebra of Wahlquist and Estabrook. A presentation problem},
  author={H. N. van Eck},
  year={1983}
}
  • H. Eck
  • Published 1983
  • Mathematics
The structure of the KdV-Lie algebra of Wahlquist and Estabrook is made explicit. This is done with help of a table of Lie-products and an inherent grading of the algebra. 
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References

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Introduction to Lie Algebras and Representation Theory
Preface.- Basic Concepts.- Semisimple Lie Algebras.- Root Systems.- Isomorphism and Conjugacy Theorems.- Existence Theorem.- Representation Theory.- Chevalley Algebras and Groups.- References.-Expand
The KdV prolongation algebra
It is shown that the Wahlquist–Estabrook prolongation of the KdV equation determines a Lie algebra L and that L is infinite‐dimensional. Finite‐dimensional prolongation algebras are shown to beExpand
Prolongation structures of nonlinear evolution equations
The prolongation structure of a closed ideal of exterior differential forms is further discussed, and its use illustrated by application to an ideal (in six dimensions) representing the cubicallyExpand
Groupes et algèbres de Lie
Les Elements de mathematique de Nicolas Bourbaki ont pour objet une presentation rigoureuse, systematique et sans prerequis des mathematiques depuis leurs fondements. Ce premier volume du Livre surExpand