6 citations · 14 across the 13 of their papers we have counts for
13 papers
Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2
Bruce Allison, Stephen Berman, Arturo Pianzola
Let M_n be the class of all multiloop algebras of finite dimensional simple Lie algebras relative to n-tuples of commuting finite order automorphisms. It is a classical result that…
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…
Realization of graded-simple algebras as loop algebras
Bruce Allison, Stephen Berman, John Faulkner +1
Multiloop algebras determined by commuting algebra automorphisms of finite order are natural generalizations of the classical loop algebras that are used to realize affine Kac-…
Conjugacy results for the Lie algebra sl_2 over an algebra which is a UFD
Stephen Berman, Jun Morita
Let F be a field of characteristic not 2 and assume all algebras are over F. We establish several conjugacy theorems for the special linear Lie algebra sl_2 over an F-algebra which…
Iterated Loop Algebras
Bruce Allison, Stephen Berman, Arturo Pianzola
Iterated loop algebras are by definition obtained by repeatedly applying the loop construction, familiar from the theory of affine Kac-Moody Lie algebras, to a given base algebra.…
Fixed Point Subalgebras of Extended Affine Lie Algebras
Saeid Azam, Stephen Berman, Malihe Yousofzadeh
It is shown that the fixed point subalgebra of an EALA under a finite order automorphism (satisfying certain properties) is a sum of EALA's, an abelian subalgebra, and a subspace w…