# What does **G2** mean in **Military**?

## This page is about the meanings of the acronym/abbreviation/shorthand **G2** in the **Governmental** field in general and in the **Military** terminology in particular.

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# Definition

#### 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.

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"G2." *Abbreviations.com.* STANDS4 LLC, 2018. Web. 23 Jan. 2018. <http://www.abbreviations.com/term/20019>.