Symplectic groups over noncommutative algebras

Daniele Alessandrini, Arkady Berenstein, Vladimir Retakh +2

We introduce the symplectic group ${\mathrm{Sp}}_2(A,\sigma )$ over a noncommutative algebra $A$ with an anti-involution $\sigma$. We realize several classical Lie groups as ${\mathrm{Sp}}_2$ ove…