4 papers
math.RT2026
Semisimplicity Criteria for algebras with a Jones Basic Construction
Frederick M. Goodman, Hans Wenzl
We prove a semisimplicity criterion for a large class of algebras by a new method. This can be applied to Brauer, BMW, and -Brauer algebras.
math.QA2026
Reconstruction of tensor categories of type
Lilit Martirosyan, Hans Wenzl
We prove that any non-symmetric ribbon tensor category with the fusion rules of the compact group of type needs to be equivalent to the representation category…
math.RT2025
Simple representations associated to cyclotomic Hecke algebras
Lilit Martirosyan, Hans Wenzl
We determine the structure of the cyclotomic Hecke algebra corresponding to the complex reflection group also when it is not semisimple, as long as the generators are diag…
math.QA2025
Hecke-Clifford algebras at roots of unity and conformal embeddings
Cain Edie-Michell, Hans Wenzl
In this paper we give a combinatorial description of the Cauchy completion of the categories and recently introduced by the first author…