"Seminar topics on affine Lie algebras"의 두 판 사이의 차이

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==topics==
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==memo==
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===Kac-Moody algebras===
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* 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
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===affine Lie algerbas as central extensions of loop algerbas===
 
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===integrable highest weight representations of affine Lie algebras===
 
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===vertex operator constructions of basic representations===
 
  
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===admissible representations===
 
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===Weyl-Kac character formula and modular transformations===
 
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===fusion product and Verlinde formula===
 
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* Heisenberg or Virasoro?
 
  
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첫 문장 끝에 ref 태그 이름을 설정.<ref name="multiple">주석에는 이 문구만 표시됨.</ref>
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===future topics===
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* admissible representations of affine algebras
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두 번째 문장도 같은 ref 태그 이름으로 설정.<ref name="multiple">이 문구는 표시되지 않음.</ref>
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* Heisenberg algebra
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* W-algebra
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세 번째 문장도 역시 같은 ref 태그 이름으로 설정.<ref name="multiple" />
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* Feigin-Frenkel isomorphism
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* KZ equation
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* quantum affine algebra
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According to scientists, the Sun is pretty big.<ref>E. Miller, The Sun, (New York: Academic Press, 2005), 23-5.</ref>
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* Shapovalov form
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The Moon, however, is not so big.<ref>R. Smith, "Size of the Moon", Scientific American, 46 (April 1978): 44-6.</ref>
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* vertex algebra
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* loop groups and positive energy representation
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== 주석 ==
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* free field realization
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<references />
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** <math>b-c</math> ghost systems
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** <math>\beta-\gamma</math> ghost systems
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** free bosons - Heisenberg
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==Notes==
 
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<references />
 
  
  
 
[[분류:Talks and lecture notes]]
 
[[분류:Talks and lecture notes]]
 
[[분류:Lie theory]]
 
[[분류:Lie theory]]
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[[분류:migrate]]

2020년 11월 16일 (월) 04:28 기준 최신판

memo


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
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