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Distributive lattices and the poset of pre-projective tilting modules (1307.8247v1)
Published 31 Jul 2013 in math.RA
Abstract: D.Happel and L.Unger defined a partial order on the set of basic tilting modules. We study the poset of basic pre-projective tilting modules over path algebra of infinite type. We give an equivalent condition for that this poset is a distributive lattice. We also give an equivalent condition for that a distributive lattice is isomorphic to the poset of basic pre-projective tilting modules over a path algebra of representation infinite type.
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