E7½
id:
e7-266-12608294
title:
E7½
text:
In mathematics, the Lie algebra E7½ is a subalgebra of E8 containing E7 defined by Landsberg and Manivel in order
to fill the "hole" in a dimension formula for the exceptional series En of simple Lie algebras. This hole was observed by Cvitanovic, Deligne, Cohen and de Man. E7½ has dimension 190, and is not simple: as a representation of its subalgebra E7, it splits as E7 ⊕ (56) ⊕ R, where (56) is the 56-dimensional irreducible representation of E7. This representation has an invariant symplecti
brand slug:
wiki
category slug:
encyclopedia
description:
Subalgebra of E8 containing E7
original url:
https://en.wikipedia.org/wiki/E7%C2%BD
date created:
date modified:
2024-04-24T03:40:10Z
main entity:
{"identifier":"Q5322446","url":"https://www.wikidata.org/entity/Q5322446"}
image:
fields total:
13
integrity:
14