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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.
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E 8 is a 248-dimensional Lie algebra. Start with the 8 coordinates above, and add a coordinate for each of the 240 roots of the E 8 root system. This vector space has an operation on it, called the Lie bracket: if X,Y are in the Lie algebra so is the Lie bracket [X,Y].
E 8 is an extraordinarily complicated group: it is the symmetries of a particular 57-dimensional object, and E 8 itself is 248-dimensional! To describe the new result requires one more level of abstraction. The ways that E 8 manifests itself as a symmetry group are called representations.
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E8 is a not-for-profit membership organization of private accredited impact investors. Our sole focus is on early-stage cleantech companies whose innovations increase the sustainability and health of our planet.
A Master Sergeant is a noncommissioned officer in the United States Army at DoD paygrade E-8. A Master Sergeant receives a monthly basic pay salary starting at $0 per month, with raises up to $7,437 per month once they have served for over 30 years. In addition to basic pay, Master Sergeants may receive additional pay allowances for housing and ...
Nov 2, 2020 · The Lie group E8 has a "root system" associated to it that consists of 240 points in 8-dimensional space. Similarly, the Lie group E7 has a root system of 126 points in 7-dimensional space. These 240 points are tightly packed together in a highly symmetric way.
