Given a pair $M,M'$ of finite-dimensional modules over a domestic canonical algebra ${\mit\Lambda }$, we give a fully verifiable criterion, in terms of a finite set of simple linear algebra invariants, deciding if $M$ and $M'$ lie in the same orbit in the module variety, or equivalently, if $M$ and $M'$ are isomorphic.
@article{10_4064_cm111_2_7,
author = {Piotr Dowbor and Andrzej Mr/oz},
title = {On a separation of orbits in the module
variety for domestic canonical algebras},
journal = {Colloquium Mathematicum},
pages = {283--295},
year = {2008},
volume = {111},
number = {2},
doi = {10.4064/cm111-2-7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm111-2-7/}
}
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AU - Piotr Dowbor
AU - Andrzej Mr/oz
TI - On a separation of orbits in the module
variety for domestic canonical algebras
JO - Colloquium Mathematicum
PY - 2008
SP - 283
EP - 295
VL - 111
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%A Andrzej Mr/oz
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variety for domestic canonical algebras
%J Colloquium Mathematicum
%D 2008
%P 283-295
%V 111
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Piotr Dowbor; Andrzej Mr/oz. On a separation of orbits in the module
variety for domestic canonical algebras. Colloquium Mathematicum, Tome 111 (2008) no. 2, pp. 283-295. doi: 10.4064/cm111-2-7