Taylor towers of symmetric and exterior powers
Brenda Johnson ; Randy McCarthy
Fundamenta Mathematicae, Tome 201 (2008), p. 197-216 / Harvested from The Polish Digital Mathematics Library

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, DkSp and DkΛ, in terms of the first terms in the Taylor towers of Spt and Λt for t < n. The homology of these first terms is related to the stable derived functors (in the sense of Dold and Puppe) of Spt and Λt. We use stable derived functor calculations of Dold and Puppe to determine the lowest nontrivial homology groups for DkSp and DkΛ.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:282858
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     author = {Brenda Johnson and Randy McCarthy},
     title = {Taylor towers of symmetric and exterior powers},
     journal = {Fundamenta Mathematicae},
     volume = {201},
     year = {2008},
     pages = {197-216},
     zbl = {1182.55010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm201-3-1}
}
Brenda Johnson; Randy McCarthy. Taylor towers of symmetric and exterior powers. Fundamenta Mathematicae, Tome 201 (2008) pp. 197-216. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm201-3-1/