On the category of modules of second kind for Galois coverings

Dowbor, Piotr

Dowbor, Piotr

Fundamenta Mathematicae, Tome 149 (1996), p. 31-54 / Harvested from The Polish Digital Mathematics Library

Résumé

Let F: R → R/G be a Galois covering and $m o d_{1} (R / G)$ (resp. $m o d_{2} (R / G)$ ) be a full subcategory of the module category mod (R/G), consisting of all R/G-modules of first (resp. second) kind with respect to F. The structure of the categories $(m o d (R / G)) / [m o d_{1} (R / G)]$ and $m o d_{2} (R / G)$ is given in terms of representation categories of stabilizers of weakly-G-periodic modules for some class of coverings.

Publié le : 1996-01-01

Zbl 0855.16018

EUDML-ID : urn:eudml:doc:212107

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     author = {Piotr Dowbor},
     title = {On the category of modules of second kind for Galois coverings},
     journal = {Fundamenta Mathematicae},
     volume = {149},
     year = {1996},
     pages = {31-54},
     zbl = {0855.16018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv149i1p31bwm}
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Dowbor, Piotr. On the category of modules of second kind for Galois coverings. Fundamenta Mathematicae, Tome 149 (1996) pp. 31-54. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv149i1p31bwm/

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