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Taylor towers of symmetric and exterior powers

Brenda Johnson, Randy McCarthy (2008)

Fundamenta Mathematicae

We study the Taylor towers of the nth symmetric and exterior power functors, Spⁿ and Λⁿ. We obtain a description of the layers of the Taylor towers, $D_{k} S p ⁿ$ and $D_{k} Λ ⁿ$ , in terms of the first terms in the Taylor towers of $S p^{t}$ 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 $S p^{t}$ and $Λ^{t}$ . We use stable derived functor calculations of Dold and Puppe to determine the lowest nontrivial homology groups for $D_{k} S p ⁿ$ and $D_{k} Λ ⁿ$ .

Displaying 1 – 5 of 5

Taylor towers of symmetric and exterior powers

The equivalence of $ω$ -groupoids and cubical $T$ -complexes

The Euler characteristic of a category.

Topological Order Complexes and Resolutions of Discriminant Sets

Topological order complexes and resolutions of discriminant sets.

Currently displaying 1 – 5 of 5

Displaying 1 – 5 of 5

Taylor towers of symmetric and exterior powers

The equivalence of ω -groupoids and cubical T -complexes

The Euler characteristic of a category.

Topological Order Complexes and Resolutions of Discriminant Sets

Topological order complexes and resolutions of discriminant sets.

Currently displaying 1 – 5 of 5

The equivalence of $ω$ -groupoids and cubical $T$ -complexes