数学
超曲面
纯数学
素数(序理论)
理想(伦理)
光谱(功能分析)
上同调
商
有限群
基本理想
量子群
群(周期表)
域代数上的
组合数学
物理
量子力学
哲学
认识论
作者
Cris Negron,Julia Pevtsova
出处
期刊:Annals of K-theory
[Mathematical Sciences Publishers]
日期:2023-05-01
卷期号:8 (1): 25-79
被引量:7
标识
DOI:10.2140/akt.2023.8.25
摘要
We use hypersurface support to classify thick (two-sided) ideals in the stable categories of representations for several families of finite-dimensional integrable Hopf algebras: bosonized quantum complete intersections, quantum Borels in type A, Drinfeld doubles of height 1 Borels in finite characteristic, and rings of functions on finite group schemes over a perfect field.We then identify the prime ideal (Balmer) spectra for these stable categories.In the curious case of functions on a finite group scheme G, the spectrum of the category is identified not with the spectrum of cohomology, but with the quotient of the spectrum of cohomology by the adjoint action of the subgroup of connected components π 0 (G) in G.
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