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}}...

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...

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...

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)...

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...

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...

In mathematics, the Freudenthal magic square (or Freudenthal–Tits magic square) is a construction relating several Lie algebras (and their associated...

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...

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...

In mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certain geometrical properties. The concept is fundamental...

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...

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...

AMS Blogs. American Mathematical Society. Retrieved October 31, 2023. Aschbacher, Michael (1987). "The 27-dimensional module for E6. I". Inventiones Mathematicae...

In mathematics, the seven-dimensional cross product is a bilinear operation on vectors in seven-dimensional Euclidean space. It assigns to any two vectors...

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...

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)...

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...

In mathematics, especially representation theory, a quiver is another name for a multidigraph; that is, a directed graph where loops and multiple arrows...

mathematician from Germany known for her performance in the International Mathematical Olympiad, where in 2011 she had the single highest (and perfect) score...

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...

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...

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...

(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...

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...

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...

In mathematics, the octonions are a normed division algebra over the real numbers, a kind of hypercomplex number system. The octonions are usually represented...

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...

Representation theory is a branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of...

physics, and it has stimulated a number of major developments in pure mathematics. Because string theory potentially provides a unified description of...

from which Unicode and many other encodings inherited it. It was also at 0xE6 in the popular CP437 on the IBM PC. Unicode has declared that a "real" mu...