Homogeneous Deformations of Brauer Tree Algebras

Abstract

Based on tilting theory, we demonstrate the existence of homogeneous deformations for the Brauer tree algebras, which are derived naturally from a tilting complex.

Key Words:

• Homogeneous deformations
• Cyclic defect
• Tilting complex
• Brauer tree algebras

Acknowledgments

Notes

^#Work done for a doctoral dissertation at Bar-Ilan University, and partially supported by the Bar-Ilan Research Authority.