Arnon completion of the Dyer-Lashof algebra
| dc.contributor.author | Campbell, H. E. A. | en |
| dc.contributor.author | Kechagias, N. E. | en |
| dc.date.accessioned | 2015-11-24T17:21:57Z | |
| dc.date.available | 2015-11-24T17:21:57Z | |
| dc.identifier.issn | 0021-2172 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12547 | |
| dc.rights | Default Licence | - |
| dc.title | Arnon completion of the Dyer-Lashof algebra | en |
| heal.abstract | In his PhD thesis, Arnon [1] builds a completion of the Dickson algebras which contains a "free root" algebra D-f (in) on the top Dickson classes. Hu'ng [5] has shown that this algebra is in fact isomorphic to a similar completion (A(mu))* of the dual of the Steenrod algebra A*. Amen also completed the Steenrod algebra A with respect to its halving homomorphism to obtain A(mu). Here we study an analogous completion of the Dyer-Lashof algebra R to obtain R-mu with canonical subcoalgebras R-mu[n]. Unlike the Steenrod algebra, we may further complete R-mu with respect to length to obtain (R) over cap(mu). It turns out, somewhat surprisingly, that the dual ((R) over cap(mu))* contains (A(mu))* as a dense subalgebra. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://000085064100008 | - |
| heal.journalName | Israel Journal of Mathematics | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 1999 | - |
| heal.publisher | Springer Verlag (Germany) | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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