Taylor towers of symmetric and exterior powers

Brenda Johnson, Randy McCarthy

Research output: Contribution to journalArticlepeer-review


We study the Taylor towers of the nth symmetric and exterior power functors, Sp n and Λ n. We obtain a description of the layers of the Taylor towers, D k Sp n and D k Λ n, in terms of the first terms in the Taylor towers of Sp t and Λ t for t < n. The homology of these first terms is related to the stable derived functors (in the sense of Dold and Puppe) of Sp t and Λ t. We use stable derived functor calculations of Dold and Puppe to determine the lowest nontrivial homology groups for D k Sp n and D k Λ n.

Original languageEnglish (US)
Pages (from-to)197-216
Number of pages20
JournalFundamenta Mathematicae
Issue number3
StatePublished - 2008


  • Symmetric and exterior power functors
  • Taylor tower of a functor

ASJC Scopus subject areas

  • Algebra and Number Theory


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