13 citations · 13 across the 1 of their papers we have counts for
3 papers
math.RT2019
Dynamical Combinatorics and Torsion Classes
Emily Barnard, Gordana Todorov, Shijie Zhu
For finite semidistributive lattices the map gives a bijection between the sets of completely join-irreducible elements and completely meet-irreducible elements. Here we study…
math.CO2018
Lattices from graph associahedra and subalgebras of the Malvenuto-Reutenauer algebra
Emily Barnard, Thomas McConville
The Malvenuto-Reutenauer algebra is a well-studied combinatorial Hopf algebra with a basis indexed by permutations. This algebra contains a wide variety of interesting sub Hopf alg…
math.RT2017★ 13 cited
Minimal inclusions of torsion classes
Emily Barnard, Andrew T. Carroll, Shijie Zhu
Let be a finite-dimensional associative algebra. The torsion classes of form a lattice under containment, denoted by . In this paper, we characterize the co…