On a separation of orbits in the module variety for domestic canonical algebras

Piotr Dowbor; Andrzej Mróz

Colloquium Mathematicae (2008)

  • Volume: 111, Issue: 2, page 283-295
  • ISSN: 0010-1354

Abstract

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Given a pair M,M' of finite-dimensional modules over a domestic canonical algebra Λ, 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.

How to cite

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Piotr Dowbor, and Andrzej Mróz. "On a separation of orbits in the module variety for domestic canonical algebras." Colloquium Mathematicae 111.2 (2008): 283-295. <http://eudml.org/doc/284086>.

@article{PiotrDowbor2008,
abstract = {Given a pair M,M' of finite-dimensional modules over a domestic canonical algebra Λ, 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.},
author = {Piotr Dowbor, Andrzej Mróz},
journal = {Colloquium Mathematicae},
keywords = {finite-dimensional modules; domestic canonical algebras; module varieties; multiplicity vectors; isomorphism question},
language = {eng},
number = {2},
pages = {283-295},
title = {On a separation of orbits in the module variety for domestic canonical algebras},
url = {http://eudml.org/doc/284086},
volume = {111},
year = {2008},
}

TY - JOUR
AU - Piotr Dowbor
AU - Andrzej Mróz
TI - On a separation of orbits in the module variety for domestic canonical algebras
JO - Colloquium Mathematicae
PY - 2008
VL - 111
IS - 2
SP - 283
EP - 295
AB - Given a pair M,M' of finite-dimensional modules over a domestic canonical algebra Λ, 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.
LA - eng
KW - finite-dimensional modules; domestic canonical algebras; module varieties; multiplicity vectors; isomorphism question
UR - http://eudml.org/doc/284086
ER -

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