On the rank varieties and Jordan types of a class of simple modules

• Main Author: Wang, Jialin
• Other Authors: Lim Kay Jin
• Format: Thesis-Doctor of Philosophy
• Language: English
• Published: Nanyang Technological University 2024
• Subjects: Mathematical Sciences; Representation theory; Symmetric group; Algebraic geometry
• Online Access: https://hdl.handle.net/10356/173694
• Institution: Nanyang Technological University

Fix a finite group G and an algebraically closed field F of characteristic p. For an FG-module M, the complexity of M is the rate of growth of a minimal projective resolution of M which is a cohomological invariant of M. The rank varieties introduced by Carlson are defined for modules for elementary...