The universal cover of a monomial triangular algebra without multiple arrows

Details The universal cover of a monomial triangular algebra without multiple arrows The universal cover of a monomial triangular algebra without multiple arrows

2007-01-10

arxiv.org/abs/math/0701282v2

Journal of Algebra and Its Applications 7, 4 (2008) 443--469

Mathematics

Representation Theory

Revised version: the introduction was entirely modified. To appear in Journal of Algebra and its Applications

Scientific paper

10.1142/S0219498808002850

Let A be a basic connected finite dimensional algebra over an algebraically
closed field k. Assuming that A is monomial and that the ordinary quiver Q of A
has no oriented cycle and no multiple arrows, we prove that A admits a
universal cover with group the fundamental group of the underlying space of Q.

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