TITLE: Clifford Lie Algebras
QUESTION [5 upvotes]: I'm studying the "Clifford Lie Algebra" (see http://arxiv.org/pdf/1007.2481.pdf page 30).
It's basically a way to look at Clifford algebras and their properties in a Lie algebraic
setting (which I find appealing). I'm looking for a reference that looks at this in more
detail; one that discusses the lie subalgebras even better. Thanks.

REPLY [3 votes]: I don't know anyone else who calls this the "Clifford Lie Algebra".  It is just one of the basic applications of Clifford algebras.   Given the Clifford algebra of a quadratic form, the quadratic elements of the Clifford algebra give you the Lie algebra of the orthogonal group of that quadratic form.
There are many places to read about this, one of them would be Chapter 1.6 of "Spin Geometry" by Lawson and Michelson.  I've written up some notes for a graduate course that include this, see here:
http://www.math.columbia.edu/%7Ewoit/LieGroups-2012/cliffalgsandspingroups.pdf