"Seminar topics on affine Lie algebras"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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| 11번째 줄: | 11번째 줄: | ||
===admissible representations=== | ===admissible representations=== | ||
* Heisenberg or Virasoro? | * Heisenberg or Virasoro? | ||
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| + | ==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 | ||
2015년 3월 3일 (화) 16:37 판
Meetings: Thursdays 3-4:30 pm, Priestly Building Seminar Room 67-442
topics
Kac-Moody algebras
affine Lie algerbas as central extensions of loop algerbas
Sugawara construction of Virasoro algebra
integrable highest weight representations of affine Lie algebras
Weyl-Kac character formula and modular transformations
fusion rules and Verlinde formula
vertex operator constructions of basic representations
admissible representations
- Heisenberg or Virasoro?
memo
links
readings
- Berman, Stephen, and Karen Hunger Parshall. ‘Victor Kac and Robert Moody: Their Paths to Kac-Moody Lie Algebras’. The Mathematical Intelligencer 24, no. 1 (13 January 2009): 50–60. doi:10.1007/BF03025312.
- Dolan, Louise. ‘The Beacon of Kac-Moody Symmetry for Physics’. Notices of the American Mathematical Society 42, no. 12 (1995): 1489–95. http://www.ams.org/notices/199512/dolan.pdf