Seminar topics on affine Lie algebras

memo

• http://books.google.com.au/books?id=_0zyWYJGUakC&printsec=frontcover&dq=Application+of+group+theory+in+physics+and+mathematical+physics&source=bl&ots=q5F83jIVbm&sig=ii3X3aeugpTZMFa1DfiGnPOkPSc&hl=en&ei=1FIwTNiXN5SSjAf_0PCWBg&sa=X&oi=book_result&ct=result&redir_esc=y#v=onepage&q&f=false

future topics

• admissible representations of affine algebras
• Heisenberg algebra
• W-algebra
• Feigin-Frenkel isomorphism
• KZ equation
• quantum affine algebra
• Shapovalov form
• vertex algebra
• loop groups and positive energy representation
• free field realization
  • $b-c$ ghost systems
  • $\beta-\gamma$ ghost systems
  • free bosons - Heisenberg