Basic generalized Verma modules
Student No.:30
Time:Fri 09:50-11:25, Jul.20
Instructor:肖维 Xiao Wei  
Place:Conference Room 1, Jin Chun Yuan West Bldg.
Starting Date:2018-7-20
Ending Date:2018-7-20

Speaker: 肖维 Xiao Wei [深圳大学Shenzhen University]

Abstract: The BGG category O plays an essential role in representation theory and has led to far-reaching work involving many researchers over recent decades. However, some elementary problems remain open, such as homomorphisms between generalized Verma modules, even the reducibility of generalized Verma modules are elusive. In this talk, we first give a classification of generalized Verma modules which are induced from maximal parabolic subalgebras and have maximal nontrivial singularity. We say these generalized Verma modules are basic. With this classification, we might solve several classical problems about generalized Verma modules.