Representation theory of the Hu algebras

Abstract: Hu algebras were first defined by Hu when he stated a Morita equivalence between Hecke algebras of type D and of type A. Motivated by his work, Lai-Nakano-Xiang introduced the notion of quantum wreath products and gave a definition of Hu algebras in this sense. In this talk, we will first introduce Hu algebras as quantum wreath products, then show that these algebras are cellular by constructing a cellular basis. Finally, we present the necessary conditions for two modules to belong to the same block.

combinatoricsquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic

OIST representation theory seminar

Series comments: Timings of this seminar may vary from week to week.