"Strange identity of Freudenthal-de Vries"의 두 판 사이의 차이

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imported>Pythagoras0
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* [http://qjmath.oxfordjournals.org/cgi/reprint/51/3/295.pdf AN ELEMENTARY PROOF OF THE 'STRANGE FORMULA' OF FREUDENTHAL AND DE Vries]<br>
 
* [http://qjmath.oxfordjournals.org/cgi/reprint/51/3/295.pdf AN ELEMENTARY PROOF OF THE 'STRANGE FORMULA' OF FREUDENTHAL AND DE Vries]<br>
 
**  John Burn, 2004<br>
 
**  John Burn, 2004<br>
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2012년 10월 28일 (일) 16:03 판

  • Root Systems and Dynkin diagrams
  • \(\rho\) Weyl vector
  • Kac book 219p, 221p
  • strange formula \[\frac{\langle\rho,\rho\rangle}{2h^{\vee}}=\frac{\operatorname{dim}\mathfrak{g}}{24}\]
  • very strange formula
  • conformal anomaly \[m_{\Lambda}=\frac{(\Lambda+\rho)^2}{2(k+h^{\vee})}-\frac{\rho^2}{2h^{\vee}}=h_{\lambda}-\frac{c(k)}{24}\]