What is the definition of the lie algebra [itex]\mathfrak{so}(2,1)[/itex]?(adsbygoogle = window.adsbygoogle || []).push({});

i want to say that it is the set

[itex]\{ X \in GL(3,\mathbb{R}) | X^t=-X \text{ and } \text{trace}(X)=0 \}[/itex]

is that true?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Very confused by Lie Algrbera

**Physics Forums | Science Articles, Homework Help, Discussion**