nLab change of rings theorem




Let AA be a Hopf algebra over a field kk, and let BB be a normal sub Hopf algebra of AA. Then

Cotor A(B,k)Cotor A//B(k,k). Cotor_A(B,k) \simeq Cotor_{A//B}(k,k) \,.

This is used in computations with the Adams spectral sequence.


Due to

  • A. Liulevicius, Notes on Homotopy of Thom Spectra, Amer. J. of Math., 86 (1964), 1-16.

Textbook accounts include

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