Defines (P,φ)-Tamari lattices as a generalization of the Tamari lattice and uses them to establish join-semidistributivity and related properties for higher torsion class lattices of type A algebras.
https://arxiv.org/abs/2501.09447
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AI-generated short proofs resolve conjectures on the echelonmotion operator, parking function statistics, and plactic monoid centralizers.
Introduces spherical algebras (all indecomposables spherical) and proves the Auslander-Yoneda algebra is Auslander-Gorenstein iff all indecomposables are spherical, with characterizations via split torsion pairs, directedness for representation-finite cases, classification of spherical Nakayama alge
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$(P,\phi)$-Tamari and higher torsion lattices of type $\mathbf{A}$
Defines (P,φ)-Tamari lattices as a generalization of the Tamari lattice and uses them to establish join-semidistributivity and related properties for higher torsion class lattices of type A algebras.
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Short Proofs in Algebraic and Enumerative Combinatorics
AI-generated short proofs resolve conjectures on the echelonmotion operator, parking function statistics, and plactic monoid centralizers.