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- E8_(mathematics) abstract "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 E6, E7, E8, F4, and G2. The E8 algebra is the largest and most complicated of these exceptional cases.Wilhelm Killing (1888a, 1888b, 1889, 1890) discovered the complex Lie algebra E8 during his classification of simple compact Lie algebras, though he did not prove its existence, which was first shown by Élie Cartan. Cartan determined that a complex simple Lie algebra of type E8 admits three real forms. Each of them gives rise to a simple Lie group of dimension 248, exactly one of which is compact. Chevalley (1955) introduced algebraic groups and Lie algebras of type E8 over other fields: for example, in the case of finite fields they lead to an infinite family of finite simple groups of Lie type.".
- E8_(mathematics) wikiPageExternalLink E8.
- E8_(mathematics) wikiPageExternalLink kle8.narrative.html.
- E8_(mathematics) wikiPageExternalLink books?isbn=0226005275.
- E8_(mathematics) wikiPageExternalLink index.php?id=11&PPN=GDZPPN002250810&L=1.
- E8_(mathematics) wikiPageExternalLink index.php?id=11&PPN=GDZPPN002251337&L=1.
- E8_(mathematics) wikiPageExternalLink index.php?id=11&PPN=GDZPPN002252392&L=1.
- E8_(mathematics) wikiPageExternalLink index.php?id=11&PPN=PPN235181684_0034&DMDID=DMDLOG_0009&L=1.
- E8_(mathematics) wikiPageExternalLink news_about_e8.html.
- E8_(mathematics) wikiPageExternalLink E8TALK.pdf.
- E8_(mathematics) wikiPageExternalLink 1178245104.
- E8_(mathematics) wikiPageExternalLink e8plane.html.
- E8_(mathematics) wikiPageExternalLink home.html.
- E8_(mathematics) wikiPageExternalLink home.html.
- E8_(mathematics) wikiPageExternalLink 9908039.
- E8_(mathematics) wikiPageExternalLink www.liegroups.org.
- E8_(mathematics) wikiPageExternalLink kle8.html.
- E8_(mathematics) wikiPageID "647994".
- E8_(mathematics) wikiPageRevisionID "593777314".
- E8_(mathematics) authorlink "Wilhelm Killing".
- E8_(mathematics) b "8".
- E8_(mathematics) doi "10.1126".
- E8_(mathematics) first "D. A.".
- E8_(mathematics) first "D.".
- E8_(mathematics) first "E. M.".
- E8_(mathematics) first "E.".
- E8_(mathematics) first "K.".
- E8_(mathematics) first "M.".
- E8_(mathematics) first "P.".
- E8_(mathematics) first "R.".
- E8_(mathematics) first "Wilhelm".
- E8_(mathematics) hasPhotoCollection E8_(mathematics).
- E8_(mathematics) issue "5962".
- E8_(mathematics) journal Science_(journal).
- E8_(mathematics) last "Coldea".
- E8_(mathematics) last "Habicht".
- E8_(mathematics) last "Kiefer".
- E8_(mathematics) last "Killing".
- E8_(mathematics) last "Prabhakaran".
- E8_(mathematics) last "Smeibidl".
- E8_(mathematics) last "Telling".
- E8_(mathematics) last "Tennant".
- E8_(mathematics) last "Wawrzynska".
- E8_(mathematics) last "Wheeler".
- E8_(mathematics) p "+".
- E8_(mathematics) pages "177".
- E8_(mathematics) title "Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E8 Symmetry".
- E8_(mathematics) volume "327".
- E8_(mathematics) year "1888".
- E8_(mathematics) year "1889".
- E8_(mathematics) year "1890".
- E8_(mathematics) year "2010".
- E8_(mathematics) subject Category:Algebraic_groups.
- E8_(mathematics) subject Category:Lie_groups.
- E8_(mathematics) comment "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 E6, E7, E8, F4, and G2.".
- E8_(mathematics) label "E8 (matematica)".
- E8_(mathematics) label "E8 (matemáticas)".
- E8_(mathematics) label "E8 (mathematics)".
- E8_(mathematics) label "E8 (mathématiques)".
- E8_(mathematics) label "E8 (wiskunde)".
- E8_(mathematics) label "E8 (математика)".
- E8_(mathematics) label "E8 (数学)".
- E8_(mathematics) label "E8".
- E8_(mathematics) sameAs E8_(matemáticas).
- E8_(mathematics) sameAs E8_(mathématiques).
- E8_(mathematics) sameAs E8_(matematica).
- E8_(mathematics) sameAs E8_(数学).
- E8_(mathematics) sameAs E₈.
- E8_(mathematics) sameAs E8_(wiskunde).
- E8_(mathematics) sameAs E8.
- E8_(mathematics) sameAs m.02_c3l.
- E8_(mathematics) sameAs Q1200244.
- E8_(mathematics) sameAs Q1200244.
- E8_(mathematics) wasDerivedFrom E8_(mathematics)?oldid=593777314.
- E8_(mathematics) isPrimaryTopicOf E8_(mathematics).