Rank varieties and 𝜋-points for elementary supergroup schemes

Transactions of the American Mathematical Society, Series B Pub Date : 2020-08-06 DOI:10.1090/btran/74

D. Benson, S. Iyengar, H. Krause, J. Pevtsova

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引用次数: 4

Abstract

We develop a support theory for elementary supergroup schemes, over a field of positive characteristic p ⩾ 3 p\geqslant 3 , starting with a definition of a π \pi -point generalising cyclic shifted subgroups of Carlson for elementary abelian groups and π \pi -points of Friedlander and Pevtsova for finite group schemes. These are defined in terms of maps from the graded algebra k [ t , τ ] / ( t p − τ 2 ) k[t,\tau ]/(t^p-\tau ^2) , where t t has even degree and τ \tau has odd degree. The strength of the theory is demonstrated by classifying the parity change invariant localising subcategories of the stable module category of an elementary supergroup scheme.

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初等超群方案的秩变异和𝜋-points

我们为初等超群方案开发了一个支持理论，在一个正特征p小于3 p \geqslant 3的域上，从Carlson的初等阿贝尔群的π \pi点广义循环位移子群和Friedlander和Pevtsova的π \pi点的有限群方案的定义开始。这些是根据渐变代数k[t， τ]/(t p−τ 2) k[t, \tau]/(t^p- \tau ^2)的映射定义的，其中t t具有偶数次，τ \tau具有奇数次。通过对一类初等超群格式的稳定模范畴的奇偶变不变定域子范畴进行分类，证明了该理论的强度。

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来源期刊

Transactions of the American Mathematical Society, Series B

CiteScore

1.70

自引率

0.00%

发文量