Cellular Structure of Wreath Product Algebras
arXiv:1811.03589 · doi:10.1016/j.jpaa.2019.06.012
Abstract
We apply the method of iterated inflations to show that the wreath product of a cellular algebra with a symmetric group is cellular, and obtain descriptions of the cell and simple modules together with a semisimplicity condition for such wreath products.
20 pages