Infinitely generated Derksen and Makar-Limanov invariant
Stefan Maubach
TL;DR
This paper presents an example of a finitely generated 3-dimensional algebra over the complex numbers with infinitely generated Derksen and Makar-Limanov invariants, challenging previous assumptions about their finiteness.
Contribution
It provides the first known example of a finitely generated algebra with infinitely generated Derksen and Makar-Limanov invariants.
Findings
Finitely generated 3-dimensional algebra with infinite invariants
Counterexample to finiteness assumptions in invariant theory
Advances understanding of algebraic invariants in algebraic geometry
Abstract
In this paper, we give an example of a finitely generated 3-dimensional C-algebra which has infinitely generated Derksen invariant as well as Makar-Limaonv invariant.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
Topicsadvanced mathematical theories · Mathematical Dynamics and Fractals