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research article
Automorphisms of even unimodular lattices and equivariant Witt groups
January 1, 2020
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.
Type
research article
Web of Science ID
WOS:000582127000002
Authors
Publication date
2020-01-01
Publisher
Published in
Volume
22
Issue
11
Start page
3467
End page
3490
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 7, 2020
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