Geodesic
Orbit algebras and periodicity
Petter Andreas Bergh1
1 Institutt for matematiske fag NTNU N-7491 Trondheim, Norway
Colloquium Mathematicum, Tome 114 (2009) no. 2, pp. 245-252

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Given an object in a category, we study its orbit algebra with respect to an endofunctor. We show that if the object is periodic, then its orbit algebra modulo nilpotence is a polynomial ring in one variable. This specializes to a result on Ext-algebras of periodic modules over Gorenstein algebras. We also obtain a criterion for an algebra to be of wild representation type.
DOI : 10.4064/cm114-2-7
Keywords: given object category study its orbit algebra respect endofunctor object periodic its orbit algebra modulo nilpotence polynomial ring variable specializes result ext algebras periodic modules gorenstein algebras obtain criterion algebra wild representation type

Petter Andreas Bergh 1

1 Institutt for matematiske fag NTNU N-7491 Trondheim, Norway 
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Petter Andreas Bergh. Orbit algebras and periodicity. Colloquium Mathematicum, Tome 114 (2009) no. 2, pp. 245-252. doi: 10.4064/cm114-2-7

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