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
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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.
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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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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.