E8 (mathematics)
In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattice, which has rank 8. The designation E8 comes from the Cartan–Killing classification of the complex simple Lie algebras, which fall into four infinite series labeled An, Bn, Cn, Dn, and five exceptional cases labeled G2, F4, E6, E7, and E8. The E8 algebra is the largest and most complicated of these exceptional cases.
1 42 polytope240 (number)248 (number)2 41 polytope30 (number)496 (number)4 21 polytope57 (number)700 (number)8American Institute of MathematicsAn Exceptionally Simple Theory of EverythingAntony Garrett LisiBertram KostantCompact groupCoxeter elementCoxeter groupCoxeter notationCoxeter–Dynkin diagramDomain wall (string theory)E6 (mathematics)E7 (mathematics)E7½E8E8 (Mathematics)E8 (group)E8 Lie algebraE8 Lie groupE8 latticeE8 manifoldE8 shapeEdward WittenEight-dimensional spaceEn (Lie algebra)Exceptional Lie algebraExceptional objectE₈E₈ (mathematics)F4 (mathematics)Fokko du Cloux
Link from a Wikipage to another Wikipage
primaryTopic
E8 (mathematics)
In mathematics, E8 is any of several closely related exceptional simple Lie groups, linear algebraic groups or Lie algebras of dimension 248; the same notation is used for the corresponding root lattice, which has rank 8. The designation E8 comes from the Cartan–Killing classification of the complex simple Lie algebras, which fall into four infinite series labeled An, Bn, Cn, Dn, and five exceptional cases labeled G2, F4, E6, E7, and E8. The E8 algebra is the largest and most complicated of these exceptional cases.
has abstract
E8とは、248次元, 階数8の例外型単純リー群である。は、 ...... において、E8の幾何構造に基づく万物の理論を発表している。
@ja
Em matemática, E8 é uma forma ...... a ter seus teoremas provados.
@pt
En matemática, es el nombre de ...... mostración de varios teoremas.
@es
En mathématiques, est le plus ...... , dont Fokko du Cloux et (en).
@fr
E₈ är ett matematiskt objekt, ...... cerade av dessa undantagsfall.
@sv
In de groepentheorie, een deel ...... deze uitzonderlijke gevallen.
@nl
In matematica, è il nome di un ...... strazione di svariati teoremi.
@it
In mathematics, E8 is any of s ...... ed of these exceptional cases.
@en
В математиці, — найбільша особ ...... позначаються E6, , E8, F4 і .
@uk
— наибольшая особая простая гр ...... бозначаемых E6, , E8, F4 и G2.
@ru
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,021,863,194
Link from a Wikipage to another Wikipage
authorlink
Wilhelm Killing
@en
doi
1.01126e+1
first
D. A.
@en
D.
@en
E. M.
@en
E.
@en
K.
@en
M.
@en
P.
@en
R.
@en
Wilhelm
@en
issue
journal
last
Coldea
@en
Habicht
@en
Kiefer
@en
Killing
@en
Prabhakaran
@en
Smeibidl
@en
Telling
@en
Tennant
@en
Wawrzynska
@en
Wheeler
@en
p
+
@en
title
Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E8 Symmetry
@en
wikiPageUsesTemplate
year
comment
E8とは、248次元, 階数8の例外型単純リー群である。は、 ...... において、E8の幾何構造に基づく万物の理論を発表している。
@ja
Em matemática, E8 é uma forma ...... a ter seus teoremas provados.
@pt
En matemática, es el nombre de ...... e actualmente es identificado.
@es
En mathématiques, est le plus ...... , dont Fokko du Cloux et (en).
@fr
E₈ är ett matematiskt objekt, ...... cerade av dessa undantagsfall.
@sv
In de groepentheorie, een deel ...... ortelrooster dat rang 8 heeft.
@nl
In matematica, è il nome di un ...... strazione di svariati teoremi.
@it
In mathematics, E8 is any of s ...... ed of these exceptional cases.
@en
В математиці, — найбільша особ ...... позначаються E6, , E8, F4 і .
@uk
— наибольшая особая простая гр ...... бозначаемых E6, , E8, F4 и G2.
@ru
label
E8 (matematica)
@it
E8 (matematik)
@sv
E8 (matemáticas)
@es
E8 (mathematics)
@en
E8 (mathématiques)
@fr
E8 (wiskunde)
@nl
E8 (数学)
@ja
E8
@pt
E₈ (математика)
@ru
E₈ (математика)
@uk