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- W3022768992 abstract "We consider finite-dimensional Hopf algebras $u$ which admit a smooth deformation $Uto u$ by a Noetherian Hopf algebra $U$ of finite global dimension. Examples of such Hopf algebras include small quantum groups over the complex numbers, restricted enveloping algebras in finite characteristic, and Drinfeld doubles of height $1$ group schemes. We provide a means of analyzing (cohomological) support for representations over such $u$, via the singularity categories of the hypersurfaces $U/(f)$ associated to functions $f$ on the corresponding parametrization space. We use this hypersurface approach to establish the tensor product property for cohomological support, for the following examples: functions on a finite group scheme, Drinfeld doubles of certain height 1 solvable finite group schemes, bosonized quantum complete intersections, and the small quantum Borel in type $A$." @default.
- W3022768992 created "2020-05-13" @default.
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- W3022768992 date "2020-05-06" @default.
- W3022768992 modified "2023-09-27" @default.
- W3022768992 title "Support for integrable Hopf algebras via noncommutative hypersurfaces" @default.
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