120 citations · 245 across the 69 of their papers we have counts for
5 papers · 1 filter
The one-sided cycle shuffles in the symmetric group algebra
Darij Grinberg, Nadia Lafrenière
We study a family of shuffling operators on the symmetric group , which includes the top-to-random shuffle. The general shuffling scheme consists of removing one card at a tim…
Birational rowmotion on a rectangle over a noncommutative ring
Darij Grinberg, Tom Roby
We extend the periodicity of birational rowmotion for rectangular posets to the case when the base field is replaced by a noncommutative ring (under appropriate conditions). This r…
On the principal minors of the powers of a matrix
Darij Grinberg
We show that if is an -matrix, then the diagonal entries of each power are uniquely determined by the principal minors of , and can be written as universa…
Weighted posets and the enriched monomial basis of QSym (extended abstract)
Darij Grinberg, Ekaterina A. Vassilieva
Gessel's fundamental and Stembridge's peak functions are the generating functions for (enriched) -partitions on labelled chains. They are also the bases of two significant subal…
A -deformation of enriched -partitions (extended abstract)
Darij Grinberg, Ekaterina A. Vassilieva
We introduce a -deformation that generalises in a single framework previous works on classical and enriched -partitions. In particular, we build a new family of power series…