Bound quivers of three-separate stratified posets, their Galois coverings and socle projective representations
Fundamenta Mathematicae, Tome 143 (1993) no. 3, pp. 259-279
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
A class of stratified posets $I*_ϱ$ is investigated and their incidence algebras $KI*_ϱ$ are studied in connection with a class of non-shurian vector space categories. Under some assumptions on $I*_ϱ$ we associate with $I*_ϱ$ a bound quiver (Q, Ω) in such a way that $KI*_ϱ ≃ K(Q, Ω)$. We show that the fundamental group of (Q, Ω) is the free group with two free generators if $I*_ϱ$ is rib-convex. In this case the universal Galois covering of (Q, Ω) is described. If in addition $I_ϱ$ is three-partite a fundamental domain $I^{*+×}$ of this covering is constructed and a functorial connection between $mod_{sp} (KI^{*+×}_ϱ)$ and $mod_{sp}(KI*_ϱ)$ is given.
@article{10_4064_fm_143_3_259_279,
author = {Stanis{\l}aw Kasjan},
title = {Bound quivers of three-separate stratified posets, their {Galois} coverings and socle projective representations},
journal = {Fundamenta Mathematicae},
pages = {259--279},
year = {1993},
volume = {143},
number = {3},
doi = {10.4064/fm-143-3-259-279},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-143-3-259-279/}
}
TY - JOUR AU - Stanisław Kasjan TI - Bound quivers of three-separate stratified posets, their Galois coverings and socle projective representations JO - Fundamenta Mathematicae PY - 1993 SP - 259 EP - 279 VL - 143 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/fm-143-3-259-279/ DO - 10.4064/fm-143-3-259-279 LA - en ID - 10_4064_fm_143_3_259_279 ER -
%0 Journal Article %A Stanisław Kasjan %T Bound quivers of three-separate stratified posets, their Galois coverings and socle projective representations %J Fundamenta Mathematicae %D 1993 %P 259-279 %V 143 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4064/fm-143-3-259-279/ %R 10.4064/fm-143-3-259-279 %G en %F 10_4064_fm_143_3_259_279
Stanisław Kasjan. Bound quivers of three-separate stratified posets, their Galois coverings and socle projective representations. Fundamenta Mathematicae, Tome 143 (1993) no. 3, pp. 259-279. doi: 10.4064/fm-143-3-259-279
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