14
votes
2answers
562 views

Karoubi versus Kasparov K-theory

I have the following, probably very elementary question: Let $Cl^{p,q}$ be the Clifford algebra on generators $e_i$, $i=1, \ldots, p+q$ with $e_i e_j = -e_j e_i$ and $e_{i}^{2}=-1$ for $i=1,\ldots,p$, ...
0
votes
1answer
261 views

Applications of the natural bilinear forms on the direct sum between a vector space and its dual

As it is know, the vector space $V\oplus V^\ast$ admits the natural symmetric and skew symmetric bilinear forms $$\langle X+\xi,Y+\eta\rangle|_\pm:=\frac 1 2 \(\xi(Y) \pm \eta(X)\)$$ I am interested ...
3
votes
1answer
606 views

On matrix representations of the Clifford algebras of type $Cl(0,n)$

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