Hello! My name is Sean McAfee; I am a graduate student in the University of Utah Mathematics Department, studying representation theory under Dr. Peter Trapa. My specialty concerns the combinatorics of representations of the Lie group U(p,q). When I am not teaching or engaging in research, I enjoy reading, writing, and talking to strangers.
Here are some expository papers I have written concerning representations of Lie groups:
Irreducible representations of the symmetric group S_n
Proof of the Harish-Chandra isomorphism for G=SL(2,C)
Proof that K-finite vectors are invariant under the action of (g,K)
Proof that smooth vectors are dense in V
Proof of the correspondence between (g,K) modules and representations of G