Articles by Aaron Lauve

Generalized Jucys-Murphy elements and canonical idempotents in towers of algebras

-- Aaron Lauve (Loyola Univ., Chicago)

The collection of symmetric group algebras serves as a motivating example for what I'll call a multiplicity-free tower of finite dimensional algebras. Any such family has a canonical complete set of pairwise orthogonal primitive idempotents stemming from its representation theory. In the case of the symmetric group algebras, these ...