Talk:E7 (mathematics)

From Wikipedia, the free encyclopedia

Mathematics Portal This article is within the scope of WikiProject Mathematics, which collaborates on articles related to mathematics.
Mathematics rating:	Start Class	Low Priority	Field: Algebra
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. --Cronholm144 06:46, 24 June 2007 (UTC)

An elegant construction of E7 is described in Adams' book on exceptional Lie algebras. Namely, E7 as the sum of sl(8) and Λ⁴(8) where the second summand is the space of alternating 4-forms in an 8-dimensional vector space. The sl(8) piece is a subalgebra. To define the bracket on the second piece as well as between the two pieces, there are elegant short formulas using natural pairings. Somebody should add this description. Katzmik 11:28, 16 August 2007 (UTC)