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Weak orders on symmetric groups and posets of support $τ$-tilting modules (1605.05062v1)
Published 17 May 2016 in math.RT, math.CO, and math.RA
Abstract: We give a necessary and sufficient condition for that the support $\tau$-tilting poset of a finite dimensional algebra is isomorphic to the poset of symmetric group with weak order. Moreover we show that there are infinitely many finite dimensional algebras whose support $\tau$-tilting posets are isomorphic to the poset of symmetric group with weak order.
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