Counterexamples regarding symmetric tensors and divided powers
2008 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 212, 2236-2249 p.Article in journal (Refereed) Published
We investigate the similarities and differences between the module of symmetric tensors TSAn (M) and the module of divided powers ΓAn (M). There is a canonical map ΓAn (M) → TSAn (M) which is an isomorphism in many important cases. We give examples showing that this map need neither be surjective nor injective in general. These examples also show that the functor TSAn does not in general commute with base change.
Place, publisher, year, edition, pages
2008. Vol. 212, 2236-2249 p.
IdentifiersURN: urn:nbn:se:kth:diva-10665DOI: 10.1016/j.jpaa.2008.03.024ISI: 000257351900009ScopusID: 2-s2.0-44649141899OAI: oai:DiVA.org:kth-10665DiVA: diva2:223372
QC 201007292009-06-122009-06-122010-12-06Bibliographically approved