1 citations · 2 across the 7 of their papers we have counts for
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Flag Descents and Eulerian Polynomials for Wreath Product Quotients
Dustin Hedmark, Cyrus Hettle, McCabe Olsen
We investigate the -colored Eulerian polynomials and a notion of descents introduced in a recent paper of Hedmark and show that such polynomials can be computed as a polynomial…
Gorenstein properties and integer decomposition properties of lecture hall polytopes
Takayuki Hibi, McCabe Olsen, Akiyoshi Tsuchiya
Though much is known about -lecture hall polytopes, there are still many unanswered questions. In this paper, we show that -lecture hall polytopes satisfy the int…
Self dual reflexive simplices with Eulerian polynomials
Takayuki Hibi, McCabe Olsen, Akiyoshi Tsuchiya
A lattice polytope is called reflexive if its dual is a lattice polytope. The property that is unimodularly equivalent to $\mathcal{P…
Euler-Mahonian statistics and descent bases for semigroup algebras
Benjamin Braun, McCabe Olsen
We consider quotients of the unit cube semigroup algebra by particular -invariant ideals. Using Gröbner basis methods, we show that the resulting graded quotie…