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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.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…