Adrien Deloro

activity

20082024

N_{\circ}^{\circ}

groups of finite Morley rank

10 citations · 20 across the 13 of their papers we have counts for

collaborators

Showing 2015Show all

5 papers · 1 filter

math.GR2015

Locally quadratic modules and minuscule representations

Adrien Deloro

We give a new proof of a theorem by Timmesfeld showing that for simple algebraic groups, abstract modules where all roots act quadratically are direct sums of minuscule representat…

math.LO2015

For a study of definable representations of algebraic groups

Adrien Deloro

We classify irreducible SL(2,K)-modules of low Morley rank (at most 4.rk(K)) as a first step towards a more general conjecture.

math.GR2015

Symmetric powers of Nat SL(2,K)

Adrien Deloro

We identify the representations $K [X^{k}, X^{k - 1} Y, \dots, Y^{k}]$ among abstract $Z [SL_{2} (K)]$ -modules. One result is on $\mathbb{Q}[\mathrm{SL}_2(\…

math.GR2015★ 10 cited

Involutive automorphisms of $N_{\circ}^{\circ}$ groups of finite Morley rank

Adrien Deloro, Eric Jaligot

We classify a large class of small groups of finite Morley rank: $N_{\circ}^{\circ}$ -groups which are the infinite analogues of Thompson's $N$ -groups. More precisely, we constrain the…

math.GR2015★ 1 cited

Rank 3 Bingo

Alexandre Borovik, Adrien Deloro

We classify irreducible actions of connected groups of finite Morley rank on abelian groups of Morley rank 3.

Locally quadratic modules and minuscule representations

For a study of definable representations of algebraic groups

Symmetric powers of Nat SL(2,K)

Involutive automorphisms of N∘∘​ groups of finite Morley rank

Rank 3 Bingo

Involutive automorphisms of $N_{\circ}^{\circ}$ groups of finite Morley rank