3 papers
math.LO2023
Zilber's skew-field lemma
Adrien Deloro
We revisit one of Zilber's early results in model-theoretic algebra, viz. definability in Schur's lemma. This takes place in a broader context than the original version from the se…
math.RA2013
Veränderungen über einen Satz von Timmesfeld - II. Symmetric powers of Nat sl(2,K)
Adrien Deloro
We identify the spaces of homogeneous polynomials in two variables K[Y^k, XY^{k-1}, ..., X^k] among representations of the Lie ring sl(2,K). This amounts to constructing a compatib…
math.GR2013
Veränderungen über einen Satz von Timmesfeld - I. Quadratic Actions
Adrien Deloro
We classify quadratic SL(2,K)- and sl(2,K)-modules by crude computation, generalizing in the first case a Theorem proved independently by F.-G. Timmesfeld and S. Smith. The paper i…