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Finite generation of some cohomology rings via twisted tensor product and Anick resolutions

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 نشر من قبل Sarah J. Witherspoon
 تاريخ النشر 2017
  مجال البحث
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Over a field of prime characteristic $p>2$, we prove that the cohomology rings of some pointed Hopf algebras of dimension $p^3$ are finitely generated. These are Hopf algebras arising in the ongoing classification of finite dimensional Hopf algebras in positive characteristic, and include bosonizations of Nichols algebras of Jordan type in a general setting as well as their liftings when $p=3$. Our techniques are applications of twisted tensor product resolutions and Anick resolutions in combination with May spectral sequences.



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