c-Birkhoff polytopes are unimodularly equivalent to the order polytopes of the heap posets of the c-sorting words of the longest permutation.
Ehrhart polynomials, simplicial polytopes, magic squares and a conjecture of Stanley
5 Pith papers cite this work. Polarity classification is still indexing.
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Gives a combinatorial realization of the Auslander-Reiten correspondence between resolving subcategories and tilting modules for gentle tree algebras.
The authors prove that proper relative Ginzburg algebras yield an additive Λ-cluster algebra structure via negative extensions in Higgs categories, providing an additive view of the monoidal Λ-invariant for untwisted simply-laced types.
Module-valued ODEs are defined via tensor products of Banach modules over finite-dimensional algebras, and the solution space of homogeneous linear cases is shown to be a finitely generated submodule.
Constructs silting t-structures in the Q-shaped derived category from admissible partitions of Q, with explicit cotorsion pairs, homological descriptions, and examples of when none exist.
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$c$-Birkhoff polytopes
c-Birkhoff polytopes are unimodularly equivalent to the order polytopes of the heap posets of the c-sorting words of the longest permutation.
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Resolving subcategories for gentle algebras III: Tilting modules for gentle tree algebras
Gives a combinatorial realization of the Auslander-Reiten correspondence between resolving subcategories and tilting modules for gentle tree algebras.
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Additive categorification of the monoidal $\Lambda$-invariant
The authors prove that proper relative Ginzburg algebras yield an additive Λ-cluster algebra structure via negative extensions in Higgs categories, providing an additive view of the monoidal Λ-invariant for untwisted simply-laced types.
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Module-valued ordinary differential equations and structure of solution spaces
Module-valued ODEs are defined via tensor products of Banach modules over finite-dimensional algebras, and the solution space of homogeneous linear cases is shown to be a finitely generated submodule.
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Silting t-structures in $Q$-shaped derived categories
Constructs silting t-structures in the Q-shaped derived category from admissible partitions of Q, with explicit cotorsion pairs, homological descriptions, and examples of when none exist.