Representations of W-algebras

• Grant number: 21/10216-7
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: June 25, 2022
• End date: June 24, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Vyacheslav Futorny
• Grantee: Maria Clara Cardoso
• Supervisor: Tomoyuki Arakawa
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Kyoto University, Japan
• Associated to the scholarship: 19/24494-9 - Representations of W-algebras, BP.DR

Abstract

This is a project to study the representations of W-algebras using the representation theory of affine Kac-Moody algebras and quantum Drinfeld-Sokolov reduction. The objectives include a construction of new classes of weight modules and Whittaker modules. (AU)