In mathematics, E6 is the name of some closely related Lie groups, linear algebraic groups or their Lie algebras e 6 {\displaystyle {\mathfrak {e}}_{6}}...
28 KB (3,824 words) - 21:29, 30 November 2024
E6, E06, E.VI or E-6 may refer to: E6 series (number series), of preferred numbers for electronic components E6 (mathematics), a Lie group in mathematics...
2 KB (358 words) - 15:54, 10 November 2024
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...
46 KB (6,100 words) - 19:52, 19 December 2024
In mathematics, a group is a set with an operation that associates an element of the set to every pair of elements of the set (as does every binary operation)...
102 KB (13,147 words) - 06:59, 31 December 2024
In mathematics, for a function f : X → Y {\displaystyle f:X\to Y} , the image of an input value x {\displaystyle x} is the single output value produced...
19 KB (2,429 words) - 17:46, 27 July 2024
In mathematics, G2 is three simple Lie groups (a complex form, a compact real form and a split real form), their Lie algebras g 2 , {\displaystyle {\mathfrak...
15 KB (2,056 words) - 18:40, 24 July 2024
Root system (redirect from Bn (mathematics))
In mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. The concept is fundamental...
52 KB (6,237 words) - 03:59, 15 December 2024
In mathematics, the Freudenthal magic square (or Freudenthal–Tits magic square) is a construction relating several Lie algebras (and their associated...
29 KB (2,914 words) - 21:30, 15 May 2024
In mathematics, F4 is a Lie group and also its Lie algebra f4. It is one of the five exceptional simple Lie groups. F4 has rank 4 and dimension 52. The...
8 KB (983 words) - 13:15, 27 September 2024
In mathematics, 2E6 is a family of Steinberg or twisted Chevalley groups. It is a quasi-split form of E6, depending on a quadratic extension of fields...
4 KB (432 words) - 02:49, 5 December 2024
Grand Unified Theory (section E6)
six-dimensional Calabi–Yau manifold resembles a GUT based on the group E6. Notably E6 is the only exceptional simple Lie group to have any complex representations...
35 KB (4,568 words) - 16:04, 18 December 2024
Feza Gürsey (category Mathematical physicists)
the mid-1970s of the grand unified theory based on the exceptional group E6 -which has continued to fascinate theoretical physicists ever since- was one...
14 KB (1,389 words) - 10:59, 30 December 2024
Riemann hypothesis (redirect from Critical line (mathematics))
(2020), "The de Bruijn–Newman constant is non-negative", Forum of Mathematics, 8: e6, 62, arXiv:1801.05914, doi:10.1017/fmp.2020.6, MR 4089393; see also...
126 KB (16,785 words) - 13:28, 8 December 2024
27 (number) (section Mathematics)
AMS Blogs. American Mathematical Society. Retrieved October 31, 2023. Aschbacher, Michael (1987). "The 27-dimensional module for E6. I". Inventiones Mathematicae...
11 KB (1,274 words) - 07:30, 29 December 2024
infinite series labeled An, Bn, Cn, Dn, and five exceptional cases labeled E6, E7, E8, F4, and G2. The E7 algebra is thus one of the five exceptional cases...
19 KB (2,766 words) - 21:58, 12 June 2024
Lisa Sauermann (category International Mathematical Olympiad participants)
mathematician from Germany known for her performance in the International Mathematical Olympiad, where in 2011 she had the single highest (and perfect) score...
7 KB (486 words) - 12:52, 18 October 2024
In mathematics, the seven-dimensional cross product is a bilinear operation on vectors in seven-dimensional Euclidean space. It assigns to any two vectors...
34 KB (4,903 words) - 11:19, 13 October 2024
Catastrophe theory (redirect from Catastrophe theory (mathematics))
In mathematics, catastrophe theory is a branch of bifurcation theory in the study of dynamical systems; it is also a particular special case of more general...
23 KB (2,787 words) - 09:36, 8 November 2024
Terence Tao (category Fellows of the American Mathematical Society)
2020). "The De Bruijn-Newman constant is non-negative". Forum of Mathematics, Pi. 8: e6. arXiv:1801.05914. doi:10.1017/fmp.2020.6.. Tao, Terence (2022)...
79 KB (6,683 words) - 20:58, 1 January 2025
In mathematics, especially representation theory, a quiver is another name for a multidigraph; that is, a directed graph where loops and multiple arrows...
15 KB (2,021 words) - 14:33, 14 June 2024
Conserved Remodeling of the DNA Methylome". Cell Systems. 11 (2): 176–185.e6. doi:10.1016/j.cels.2020.06.006. ISSN 2405-4712. PMC 7484147. PMID 32619550...
322 KB (31,439 words) - 08:42, 3 January 2025
Coxeter group (redirect from H4 (mathematics))
In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic...
35 KB (3,758 words) - 10:19, 16 October 2024
E6, E7, E8, F4, and G2. The ones of type G2 (sometimes called Dickson groups) had already been constructed by Dickson (1905), and the ones of type E6...
22 KB (2,985 words) - 04:28, 23 November 2024
Uniform 6-polytope (redirect from E6-polytope)
also as h{4,33}, {3,3,31,1}, 211 6-orthoplex - , a half symmetry form of . E6 family: [33,1,1] - 39 uniform 6-polytopes as permutations of rings in the...
68 KB (1,491 words) - 06:24, 17 November 2023
78 (number) (section In mathematics)
the first or the last member. the dimension of the exceptional Lie group E6 and several related objects. the smallest number that can be expressed as...
3 KB (461 words) - 17:35, 28 November 2024
In mathematics, the octonions are a normed division algebra over the real numbers, a kind of hypercomplex number system. The octonions are usually represented...
40 KB (4,994 words) - 22:54, 9 December 2024
En (Lie algebra) (redirect from E11 (mathematics))
In mathematics, especially in Lie theory, En is the Kac–Moody algebra whose Dynkin diagram is a bifurcating graph with three branches of length 1, 2 and...
9 KB (1,481 words) - 22:05, 7 April 2024
"Criminal Minds" Haircuts From Worst To Best". BuzzFeed. Retrieved 2024-11-23. S1 E6 "L.D.S.K.". Criminal Minds Season 1. November 2, 2005. S2 E1 "The Fisher King:...
16 KB (1,896 words) - 03:00, 20 December 2024
In mathematics, a simple group is a nontrivial group whose only normal subgroups are the trivial group and the group itself. A group that is not simple...
16 KB (2,133 words) - 00:18, 16 December 2024
String theory (category Mathematical physics)
physics, and it has stimulated a number of major developments in pure mathematics. Because string theory potentially provides a unified description of...
123 KB (15,379 words) - 17:59, 2 January 2025