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math.RA2007
Structurable Tori
Bruce Allison, John Faulkner, Yoji Yoshii
The classification of structurable tori with nontrivial involution, which was begun by Allison and Yoshii, is completed. New examples of structurable tori are obtained using a cons…
math.RA2005
Lie G-Tori of Symplectic Type
Georgia Benkart, Yoji Yoshii
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…
math.RA2004
Locally extended affine Lie algebras
Jun Morita, Yoji Yoshii
We propose a new simplified definition of extended affine Lie algebras (EALAs for short), and also discuss a general version of extended affine Lie algebras, called locally extende…