GROUP ACTIONS AND COVERINGS OF BRAUER GRAPH ALGEBRAS
Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 439-464
Voir la notice de l'article provenant de la source Cambridge
We develop a theory of group actions and coverings on Brauer graphs that parallels the theory of group actions and coverings of algebras. In particular, we show that any Brauer graph can be covered by a tower of coverings of Brauer graphs such that the topmost covering has multiplicity function identically one, no loops, and no multiple edges. Furthermore, we classify the coverings of Brauer graph algebras that are again Brauer graph algebras.
GREEN, EDWARD L.; SCHROLL, SIBYLLE; SNASHALL, NICOLE. GROUP ACTIONS AND COVERINGS OF BRAUER GRAPH ALGEBRAS. Glasgow mathematical journal, Tome 56 (2014) no. 2, pp. 439-464. doi: 10.1017/S0017089513000372
@article{10_1017_S0017089513000372,
author = {GREEN, EDWARD L. and SCHROLL, SIBYLLE and SNASHALL, NICOLE},
title = {GROUP {ACTIONS} {AND} {COVERINGS} {OF} {BRAUER} {GRAPH} {ALGEBRAS}},
journal = {Glasgow mathematical journal},
pages = {439--464},
year = {2014},
volume = {56},
number = {2},
doi = {10.1017/S0017089513000372},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000372/}
}
TY - JOUR AU - GREEN, EDWARD L. AU - SCHROLL, SIBYLLE AU - SNASHALL, NICOLE TI - GROUP ACTIONS AND COVERINGS OF BRAUER GRAPH ALGEBRAS JO - Glasgow mathematical journal PY - 2014 SP - 439 EP - 464 VL - 56 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000372/ DO - 10.1017/S0017089513000372 ID - 10_1017_S0017089513000372 ER -
%0 Journal Article %A GREEN, EDWARD L. %A SCHROLL, SIBYLLE %A SNASHALL, NICOLE %T GROUP ACTIONS AND COVERINGS OF BRAUER GRAPH ALGEBRAS %J Glasgow mathematical journal %D 2014 %P 439-464 %V 56 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000372/ %R 10.1017/S0017089513000372 %F 10_1017_S0017089513000372
Cité par Sources :