For every even N at least 6, the paper produces infinitely many SO_{N+1}-valued residual Galois representations that are SO_{N+1}-irreducible but GL_{N+1}-reducible, each with a geometric lift of Zariski-dense image.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Lifting $G$-irreducible but $\mathrm{GL}_n$-reducible Galois representations
For every even N at least 6, the paper produces infinitely many SO_{N+1}-valued residual Galois representations that are SO_{N+1}-irreducible but GL_{N+1}-reducible, each with a geometric lift of Zariski-dense image.