Abstract
Many open questions, ranging from specific cases to broader themes, have already been posed and discussed in the foregoing chapters. A solution to the Embedding Problem or Cancellation Problem for complex affine spaces would reverberate across the whole of algebra, and we have seen how locally nilpotent derivations might play a role in their solution. Following are several additional directions for future inquiry.
It is by the solution of problems that the investigator tests the temper of his steel; he finds new methods and new outlooks, and gains a wider and freer horizon. …for he who seeks for methods without having a definite problem in mind seeks for the most part in vain.
David Hilbert, Mathematical Problems
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Freudenburg, G. (2017). Epilogue. In: Algebraic Theory of Locally Nilpotent Derivations. Encyclopaedia of Mathematical Sciences, vol 136.3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55350-3_11
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