9 citations · 22 across the 16 of their papers we have counts for
16 papers
Unimodular lattices of rank 29 and related even genera of small determinant
Gaëtan Chenevier, Olivier Taïbi
We classify the unimodular Euclidean integral lattices of rank 29 by developing an elementary, yet very efficient, inductive method. As an application, we determine the isometry cl…
Triality and Functoriality
Gaëtan Chenevier, Wee Teck Gan
We use the triality automorphism of simple algebraic groups of type to prove some new instances of global Langlands functorial lifting. In particular, we prove the (weak) spi…
Unimodular Hunting II
Bill Allombert, Gaëtan Chenevier
Pursuing ideas in a recent work of the second author, we determine the isometry classes of unimodular lattices of rank 28, as well as the isometry classes of unimodular lattices of…
Unimodular Hunting
Gaëtan Chenevier
We develop a method initiated by Bacher and Venkov, and based on a study of the Kneser neighbors of the standard lattice Z^n, which allows to classify the integral unimodular Eucli…
is unacceptable
Gaëtan Chenevier, Wee Teck Gan
We classify the pairs of group morphisms which are element conjugate but not globally conjugate. As an application, we study the case where is the…
Statistics for Kneser p-neighbors
Gaëtan Chenevier
Let L and L' be two integral Euclidean lattices in the same genus. We give an asymptotic formula for the number of Kneser p-neighbors of L which are isometric to L', when the prime…