Bayer-Fluckiger, EvaTaelman, Lenny2020-11-072020-11-072020-11-072020-01-0110.4171/JEMS/991https://infoscience.epfl.ch/handle/20.500.14299/173082WOS:000582127000002We 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.Mathematics, AppliedMathematicseven unimodular latticesautomorphismswitt groupschemesAutomorphisms of even unimodular lattices and equivariant Witt groupstext::journal::journal article::research article