Tbilisi Mathematical Journal

On the Derived Functors of the Third Symmetric-Power Functor

Bernhard Köck and Ramesh Satkurunath

Full-text: Open access

Abstract

We compute the derived functors of the third symmetric-power functor and their cross-effects for certain values. These calculations match predictions by the first named author and largely prove them in general.

Article information

Source
Tbilisi Math. J., Volume 2 (2009), 19-39.

Dates
Received: 23 April 2009
Accepted: 26 October 2009
First available in Project Euclid: 12 June 2018

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1528768839

Mathematical Reviews number (MathSciNet)
MR2574870

Zentralblatt MATH identifier
1195.13017

Subjects
Primary: 13D25
Secondary: 18G10: Resolutions; derived functors [See also 13D02, 16E05, 18E25] 18G30: Simplicial sets, simplicial objects (in a category) [See also 55U10]

Keywords
Dold-Puppe complex symmetric power functor Eilenberg-Zilber theorem Cauchy decomposition

Citation

Köck, Bernhard; Satkurunath, Ramesh. On the Derived Functors of the Third Symmetric-Power Functor. Tbilisi Math. J. 2 (2009), 19--39. https://projecteuclid.org/euclid.tbilisi/1528768839


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