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math.CO2025
Majority relations for Condorcet domains of tiling type
Victor Reiner, Bridget Eileen Tenner
Condorcet domains are subsets of permutations arising in voting theory: regarding their permutations as preference orders on a list of candidates, one avoids Condorcet's paradox wh…
math.CO2025
Configuration spaces and peak representations
Marcelo Aguiar, Sarah Brauner, Victor Reiner
Within the group algebras of the symmetric and hyperoctahedral groups, one has their descent algebras and families of Eulerian idempotents. These idempotents are known to generate…
math.CO2025
Invariant theory for wreath products acting on superpolynomials
Trevor Karn, Victor Reiner
This paper considers a finite group acting linearly on the variables of a polynomial algebra, or an exterior algebra, or superpolynomial algebra with both commuting and ant…