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}}...
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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...
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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 (6,112 words) - 22:40, 17 July 2025
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...
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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, a group is a set with an operation that combines any two elements of the set to produce a third element within the same set and the following...
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E6B (section Modern-day E6-Bs)
The E6-B flight computer is a form of circular slide rule used in aviation. It is an instance of an analog calculating device still being used in the 21st...
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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...
53 KB (6,237 words) - 09:29, 7 March 2025
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 (6,700 words) - 12:52, 17 July 2025
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...
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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...
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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
Lisa Sauermann (category International Mathematical Olympiad participants)
——— (2016). "On the μ-admissible set in the extended affine Weyl groups of E6 and E7". Journal of Algebra. 451: 526–543. arXiv:1411.5427. doi:10.1016/j...
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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...
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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...
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In mathematics, the seven-dimensional cross product is a bilinear operation on vectors in seven-dimensional Euclidean space. It assigns to any two vectors...
33 KB (4,789 words) - 21:22, 19 June 2025
In mathematics, especially representation theory, a quiver is another name for a multidigraph; that is, a directed graph where loops and multiple arrows...
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the presentation defined by the Y444 diagram. More specifically, the affine E6 Coxeter group is Z 6 : O 5 ( 3 ) : 2 {\displaystyle \mathbb {Z} ^{6}:O_{5}(3):2}...
6 KB (634 words) - 23:36, 29 May 2025
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...
324 KB (32,732 words) - 19:52, 31 July 2025
In mathematics, the ADE classification (originally A-D-E classifications) is a situation where certain kinds of objects are in correspondence with simply...
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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
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...
127 KB (16,781 words) - 10:35, 29 July 2025
Thompson sporadic group (redirect from Thompson group (mathematics))
"The maximal subgroups of the Thompson group", Journal of the London Mathematical Society, Second Series, 39 (1): 79–88, doi:10.1112/jlms/s2-39.1.79, ISSN 0024-6107...
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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...
24 KB (2,932 words) - 11:50, 30 July 2025
Generic polynomial (category Field (mathematics))
In mathematics, a generic polynomial refers usually to a polynomial whose coefficients are indeterminates. For example, if a, b, and c are indeterminates...
4 KB (560 words) - 15:00, 14 February 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...
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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...
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chords, which gives them more available intervals on the open strings. C6, E6, E7, E6/9 and other such tunings are common among lap-steel players such as Hawaiian...
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dimensions are 14, 52, 78, 133, 248. The corresponding diagrams are: G2 : F4 : E6 : E7 : E8 : In contrast, simple Lie algebras that are not exceptional are...
3 KB (334 words) - 10:41, 28 November 2024