105 citations · 268 across the 20 of their papers we have counts for
23 papers
Simplicity of -algebras of non-Hausdorff -multispinal groupoids
C. Farsi, N. S. Larsen, J. Packer +1
We study simplicity of -algebras arising from self-similar groups of -multispinal type, a generalization of the Grigorchuk case whose simplicity was first proved…
Hopf structures in the representation theory of direct products
Farid Aliniaeifard, Nathaniel Thiem
Combinatorial Hopf algebras give a linear algebraic structure to infinite families of combinatorial objects, a technique further enriched by the categorification of these structure…
A categorification of the Malvenuto--Reutenauer algebra via a tower of groups
Farid Aliniaeifard, Nathaniel Thiem
There is a long tradition of categorifying combinatorial Hopf algebras by the modules of a tower of algebras (or even better via the representation theory of a tower of groups). Fr…
Pattern groups and a poset based Hopf monoid
Farid Aliniaeifard, Nathaniel Thiem
The supercharacter theory of algebra groups gave us a representation theoretic realization of the Hopf algebra of symmetric functions in noncommuting variables. The underlying repr…
The structure of normal lattice supercharacter theories
Farid Aliniaeifard, Nathaniel Thiem
The character theory of finite groups has numerous basic questions that are often already quite involved: enumerating of irreducible characters, their character formulas, point-wis…
Supercharacter theories of type unipotent radicals and unipotent polytopes
Nathaniel Thiem
Even with the introduction of supercharacter theories, the representation theory of many unipotent groups remains mysterious. This paper constructs a family of supercharacter theor…