"Seminar topics on affine Lie algebras"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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| 18번째 줄: | 18번째 줄: | ||
==readings== | ==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. | + | * 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:[http://link.springer.com/article/10.1007%2FBF03025312 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 | ||
[[분류:Talks and lecture notes]] | [[분류:Talks and lecture notes]] | ||
[[분류:Lie theory]] | [[분류:Lie theory]] | ||
2015년 3월 3일 (화) 16:25 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?
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