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

2021년 2월 17일 (수) 01:56 기준 최신판

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 \[m_{\Lambda}=\frac{(\Lambda+\rho)^2}{2(k+h^{\vee})}-\frac{\rho^2}{2h^{\vee}}=h_{\lambda}-\frac{c(k)}{24}\]

Thiel, Marko, and Nathan Williams. “Strange Expectations.” arXiv:1508.05293 [math], August 21, 2015. http://arxiv.org/abs/1508.05293.
H. FREUDENTHAL and H. DE VRIES. “Linear Lie groups”, New York: Academic Press, 1969.
AN ELEMENTARY PROOF OF THE 'STRANGE FORMULA' OF FREUDENTHAL AND DE Vries
- John Burn, 2004

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+==introduction==
+* [[Root Systems and Dynkin diagrams]]
+* <math>\rho</math> Weyl vector
+* Kac book 219p, 221p
+*  strange formula :<math>\frac{\langle\rho,\rho\rangle}{2h^{\vee}}=\frac{\operatorname{dim}\mathfrak{g}}{24}</math>
+*  very strange formula
+*  conformal anomaly :<math>m_{\Lambda}=\frac{(\Lambda+\rho)^2}{2(k+h^{\vee})}-\frac{\rho^2}{2h^{\vee}}=h_{\lambda}-\frac{c(k)}{24}</math>
+==articles==
+* Thiel, Marko, and Nathan Williams. “Strange Expectations.” arXiv:1508.05293 [math], August 21, 2015. http://arxiv.org/abs/1508.05293.
+* H. FREUDENTHAL and H. DE VRIES. “Linear Lie groups”, New York: Academic Press, 1969.
+* [http://qjmath.oxfordjournals.org/cgi/reprint/51/3/295.pdf AN ELEMENTARY PROOF OF THE 'STRANGE FORMULA' OF FREUDENTHAL AND DE Vries]
+**  John Burn, 2004
+[[분류:개인노트]]
+[[분류:math and physics]]
+[[분류:Lie theory]]
+[[분류:migrate]]
+==메타데이터==
+===위키데이터===
+* ID :  [https://www.wikidata.org/wiki/Q7201015 Q7201015]
+===Spacy 패턴 목록===
+* [{'LOWER': 'plane'}, {'LEMMA': 'partition'}]