Bound quivers of three - separate stratified posets , their Galois coverings and socle projective representations
نویسنده
چکیده
A class of stratified posets I∗ ̺ is investigated and their incidence algebras KI ̺ are studied in connection with a class of non-shurian vector space categories. Under some assumptions on I∗ ̺ we associate with I ∗ ̺ a bound quiver (Q,Ω) in such a way that KI∗ ̺ ≃ K(Q,Ω). We show that the fundamental group of (Q,Ω) is the free group with two free generators if I ̺ is rib-convex. In this case the universal Galois covering of (Q,Ω) is described. If in addition I̺ is three-partite a fundamental domain I ∗+× of this covering is constructed and a functorial connection between modsp(KI ∗+× ̺ ) and modsp(KI ∗ ̺ ) is given.
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