7 citations · 12 across the 6 of their papers we have counts for
7 papers
Dynkin Diagrams and Short Peirce Gradings of Kantor Pairs
Bruce Allison, John Faulkner
In a recent article with Oleg Smirnov, we defined short Peirce (SP) graded Kantor pairs. For any such pair P, we defined a family, parameterized by the Weyl group of type BC_2, con…
Weyl images of Kantor pairs
Bruce Allison, John Faulkner, Oleg Smirnov
Kantor pairs arise naturally in the study of 5-graded Lie algebras. In this article, we begin the study of simple Kantor pairs of arbitrary dimension. We introduce Weyl images of K…
Some forms of exceptional Lie algebras
John R. Faulkner
Some forms of Lie algebras of types E_6, E_7, and E_8 are constructed using the exterior cube of a rank 9 finitely generated projective module.
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…
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…
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…