Automorphisms of even unimodular lattices and equivariant Witt groups

Bayer-Fluckiger Eva; Taelman Lenny

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Automorphisms of even unimodular lattices and equivariant Witt groups

机译：甚至单模格子和等式的Witt群体的自身形态

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摘要

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.

机译：我们将不可约多项式刻画为给定签名的偶幺模格的自同构的特征多项式，推广了Gross和McMullen的一个定理。作为证明的一部分，我们给出了一个关于双线性形式的Witt群的一般判据，该双线性形式具有群G在离散值域上的作用，从而包含一个幺模G-稳定格。

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来源
《Journal of the European Mathematical Society: JEMS》 |2020年第11期|共24页
作者
Bayer-Fluckiger Eva; Taelman Lenny;
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作者单位

Ecole Polytech Fed Lausanne Dept Math CH-1015 Lausanne Switzerland;

UvA KdVI POB 94248 NL-1090 GE Amsterdam Netherlands;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Even unimodular lattices; automorphisms; Witt group;

机译：甚至是单模格;自同构;威特集团;

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4. ON AUTOMORPHISMS OF EXTREMAL EVEN UNIMODULAR LATTICES [J] . GABRIELE NEBE International Journal of Number Theory . 2013,第8期

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8. Automorphisms of even unimodular lattices and equivariant Witt groups [O] . Eva Bayer-Fluckiger, Lenny Taelman 2020

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9. Finite Groups Lattices and Automorphisms [R] . Zanette, S. I., Caride, A. O. 1982

机译：有限群格与自同构

Automorphisms of even unimodular lattices and equivariant Witt groups

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