Isomorphisms between representations of algebras.

Manuel Saorín

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2B, page 955-964
  • ISSN: 0214-1493

Abstract

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In this paper we study the precise relation between two representations of a given split finite basic dimensional algebra A as a factor of the free path algebra over its quiver (A). After defining the notion of strongly acyclic quiver, we apply the results obtained to develop a method of calculating the group Aut(A)/Inn(A) in the case when (A) is strongly acyclic.

How to cite

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Saorín, Manuel. "Isomorphisms between representations of algebras.." Publicacions Matemàtiques 36.2B (1992): 955-964. <http://eudml.org/doc/41762>.

@article{Saorín1992,
abstract = {In this paper we study the precise relation between two representations of a given split finite basic dimensional algebra A as a factor of the free path algebra over its quiver (A). After defining the notion of strongly acyclic quiver, we apply the results obtained to develop a method of calculating the group Aut(A)/Inn(A) in the case when (A) is strongly acyclic.},
author = {Saorín, Manuel},
journal = {Publicacions Matemàtiques},
keywords = {representations; split basic finite dimensional algebra; free path algebra; quiver; strongly acyclic quiver},
language = {eng},
number = {2B},
pages = {955-964},
title = {Isomorphisms between representations of algebras.},
url = {http://eudml.org/doc/41762},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Saorín, Manuel
TI - Isomorphisms between representations of algebras.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2B
SP - 955
EP - 964
AB - In this paper we study the precise relation between two representations of a given split finite basic dimensional algebra A as a factor of the free path algebra over its quiver (A). After defining the notion of strongly acyclic quiver, we apply the results obtained to develop a method of calculating the group Aut(A)/Inn(A) in the case when (A) is strongly acyclic.
LA - eng
KW - representations; split basic finite dimensional algebra; free path algebra; quiver; strongly acyclic quiver
UR - http://eudml.org/doc/41762
ER -

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