Skip to Main content Skip to Navigation
Conference papers

The poset perspective on alternating sign matrices

Abstract : Alternating sign matrices (ASMs) are square matrices with entries 0, 1, or -1 whose rows and columns sum to 1 and whose nonzero entries alternate in sign. We put ASMs into a larger context by studying the order ideals of subposets of a certain poset, proving that they are in bijection with a variety of interesting combinatorial objects, including ASMs, totally symmetric self―complementary plane partitions (TSSCPPs), Catalan objects, tournaments, semistandard Young tableaux, and totally symmetric plane partitions. We use this perspective to prove an expansion of the tournament generating function as a sum over TSSCPPs which is analogous to a known formula involving ASMs.
Complete list of metadata

Cited literature [8 references]  Display  Hide  Download
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Thursday, August 20, 2015 - 11:07:44 AM
Last modification on : Thursday, May 6, 2021 - 9:44:04 AM
Long-term archiving on: : Wednesday, April 26, 2017 - 9:57:23 AM


Publisher files allowed on an open archive




Jessica Striker. The poset perspective on alternating sign matrices. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. pp.813-824, ⟨10.46298/dmtcs.2707⟩. ⟨hal-01185399⟩



Record views


Files downloads