Hypersurface support and prime ideal spectra for stable categories
نویسندگان
چکیده
We use hypersurface support to classify thick (two-sided) ideals in the stable categories of representations for several families finite-dimensional integrable Hopf algebras: bosonized quantum complete intersections, Borels type $A$, Drinfeld doubles height 1 finite characteristic, and rings functions on group schemes over a perfect field. then identify prime ideal (Balmer) spectra these categories. In curious case scheme $G$, spectrum category is identified not with cohomology, but quotient cohomology by adjoint action subgroup connected components $\pi_0(G)$ $G$.
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ژورنال
عنوان ژورنال: Annals of K-theory
سال: 2023
ISSN: ['2379-1691', '2379-1683']
DOI: https://doi.org/10.2140/akt.2023.8.25