Automorphisms of even unimodular lattices and equivariant Witt groups
2020
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.
Details
Title
Automorphisms of even unimodular lattices and equivariant Witt groups
Author(s)
Bayer-Fluckiger, Eva ; Taelman, Lenny
Published in
Journal Of The European Mathematical Society
Volume
22
Issue
11
Pages
3467-3490
Date
2020-01-01
Publisher
Zurich, EUROPEAN MATHEMATICAL SOC
ISSN
1435-9855
Keywords
Other identifier(s)
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Laboratories
CSAG
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > SB Archives > CSAG - Chair of Algebraic and Geometric Structures
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2020-11-07