Research interests:
  • Representation theory and structures of algebras,
  • Homological algebras,
  • Cellular algebras and related topics.

Some topics:

  1. Cellular algebras: General structure theory and representation theory.
  2. Cellular algebras in applications: Birman-Wenzl algebras, Brauer algebras, partition algebras and cyclotomic Temperley-Lieb algebras; and related algebras.
  3. Quasi-hereditary algebras and related topics;
  4. Homological theory of artin algebras: Homological conjectures; homological dimensions; homologically finite subcategories; Hochschild homology and cohomology and related topics;
  5. Derived equivalences, stable equivalences of Morita type and related topics.
  6. Quadratic forms and module categories: Vector space categories of algberas, representation types; spectrum of Cartan matrices of algebras, relationship between properties of algebras and Cartan determinants; Coxeter matrices of algebras.

Last modified: December 31, 2008
Copyright © Changchang Xi