Lie G-Tori of Symplectic Type

Details Lie G-Tori of Symplectic Type Lie G-Tori of Symplectic Type

2005-09-08

arxiv.org/abs/math/0509183v1

Mathematics

Rings and Algebras

Scientific paper

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.

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