Clifford Algebras: Finding Matrix Representations Cl(0,n)

[sjhanjee]

Can matrix representations of clifford algebras of type Cl(0,n) be found? Specifically for even orders

 

[Simon_Tyler]

Yes. Unique (up to change of basis) matrix representation exist for all Clifford algebras Cl(m,n). There's a few reduction identities that can be recursively applied to get any Clifford algebra down to a direct product of simple matrix algebras.

See e.g. http://demonstrations.wolfram.com/TrigramsAndRealCliffordAlgebras/ and the reference http://arxiv.org/abs/hep-th/0506011.

 

[sjhanjee]

I am after explicit matrix genrators of Cl(0,4), Cl(0,6) and so on.