On the André–Quillen homology of Tambara functors

  title={On the Andr{\'e}–Quillen homology of Tambara functors},
  author={Michael A. Hill},
  journal={Journal of Algebra},
  • M. Hill
  • Published 2017
  • Mathematics
  • Journal of Algebra
Abstract We lift to equivariant algebra three closely related classical algebraic concepts: abelian group objects in augmented commutative algebras, derivations, and Kahler differentials. We define Mackey functor objects in the category of Tambara functors augmented to a fixed Tambara functor R _ , and we show that the usual square-zero extension gives an equivalence of categories between these Mackey functor objects and ordinary modules over R _ . We then describe the natural generalization to… Expand
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