
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.
22 pages; to appear in Tbilisi Mathematical Journal
Eilenberg-Zilber theorem, 13D25, K-Theory and Homology (math.KT), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), symmetric power functor, 18G10, 510, 004, 18G30, Dold-Puppe complex, Mathematics - K-Theory and Homology, FOS: Mathematics, Cauchy decomposition, 13D25; 18G10; 18G30
Eilenberg-Zilber theorem, 13D25, K-Theory and Homology (math.KT), Mathematics - Commutative Algebra, Commutative Algebra (math.AC), symmetric power functor, 18G10, 510, 004, 18G30, Dold-Puppe complex, Mathematics - K-Theory and Homology, FOS: Mathematics, Cauchy decomposition, 13D25; 18G10; 18G30
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