### We've got **1** definition for **G2** »

## What does **G2** stand for?

#### What does **G2** mean? This page is about the various possible meanings of the acronym, abbreviation, shorthand or slang term: **G2**.

**Filter by:**

**Sort by:**PopularityAlphabeticallyCategory

#### What does **G2** mean?

- G2
- In mathematics, G₂ is the name of three simple Lie groups, their Lie algebras, as well as some algebraic groups. They are the smallest of the five exceptional simple Lie groups. G₂ has rank 2 and dimension 14. It has two fundamental representations, with dimension 7 and 14. The compact form of G₂ can be described as the automorphism group of the octonion algebra or, equivalently, as the subgroup of SO that preserves any chosen particular vector in its 8-dimensional real spinor representation. Robert Bryant introduced the definition of G₂ as the subgroup of that preserves the non-degenerate 3-form with denoting In older books and papers, G₂ is sometimes denoted by E₂.

**Still can't find the acronym definition you were looking for?** Use our **Power Search technology** to look for more unique definitions from across the web!

"G2." *Abbreviations.com.* STANDS4 LLC, 2018. Web. 20 Jan. 2018. <http://www.abbreviations.com/G2>.