3 citations · 3 across the 3 of their papers we have counts for
3 papers
math.RA2007★ 3 cited
Multiloop realization of extended affine Lie algebras and Lie tori
Bruce Allison, Stephen Berman, John Faulkner +1
An important theorem in the theory of infinite dimensional Lie algebras states that any affine Kac-Moody algebra can be realized (that is to say constructed explicitly) using loop…
math.RA2007
Isotopy for extended affine Lie algebras and Lie tori
Bruce Allison, John Faulkner
Centreless Lie tori have been used by E. Neher to construct all extended affine Lie algebras (EALAs). In this article, we study notions of isotopes and isotopy for centreless Lie t…
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…