Lie G-Tori of Symplectic Type
Rings and Algebras
2007-05-23 v1
Abstract
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 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.
Cite
@article{arxiv.math/0509183,
title = {Lie G-Tori of Symplectic Type},
author = {Georgia Benkart and Yoji Yoshii},
journal= {arXiv preprint arXiv:math/0509183},
year = {2007}
}