I have several questions about Steinberg group and K_{2} for symplectic group:

- Can I extend the definition of Steinberg symbols to symplectic case? Will they generate the center of Steinberg group?
- Does the center of symplectic Steinberg group coincide with K
_{2}(the kernel of $\mathrm{SpSt}\rightarrow\mathrm{Sp}$ as usual)? - Is there an analogue for Matsumoto's theorem?

I tryed to read "Sur les sous-groupes arithmetiques des groupes semi-simples deployes" by Hideya Matsumoto and all I got to know about symplectic case is that there is some problems with long roots in C_{l}. Also, is it written in english anywhere about non-A_{l} K-theory? There is "The Classical groups and K-theory" by Hahn and O'Meara, but it tells about SL and about unitary groups only.