Lie G-Tori of Symplectic Type
We classify centerless Lie G-tori of type C_r including the
most difficult case r=2 by applying techniques due to Seligman. In
particular, we show that the coordinate algebra of a Lie G-torus of type
C_2 is either an associative G-torus with involution or is a Clifford
G-torus. Our results generalize the classification of the core of the
extended affine Lie algebras of type C_r by Allison and Gao.
G. Benkart < benkart@math.wisc.edu >
Y. Yoshii < yoji.yoshii@ndsu.edu >