Publication

Automorphisms of even unimodular lattices and equivariant Witt groups

Eva Bayer Fluckiger
2020
Journal Articles

Abstract

We characterize the irreducible polynomials that occur as the characteristic polynomial of an automorphism of an even unimodular lattice of a given signature, generalizing a theorem of Gross and McMullen. As part of the proof, we give a general criterion in terms of Witt groups for a bilinear form equipped with an action of a group G over a discretely valued field to contain a unimodular G-stable lattice.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Automorphisms of even unimodular lattices and equivariant Witt groups

Chat with Graph Search

K3 surfaces, cyclotomic polynomials and orthogonal groups

Computer-assisted proof of kernel inequalities

The multivariate Serre conjecture ring