6 citations · 7 across the 2 of their papers we have counts for
7 papers
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…
Covering Algebras II: Isomorphism of Loop Algebras
Bruce Allison, Stephen Berman, Arturo Pianzola
This paper studies the loop algebras that arise from pairs consisting of a symmetrizable Kac-Moody Lie algebra $\g$ and a finite order automorphism of $\g$. We obtain necessary…
Representations of a class of lattice type vertex algebras
Stephen Berman, Chongying Dong, Shaobin Tan
In this paper we study the representation theory for certain ``half lattice vertex algebras.'' In particular we construct a large class of irreducible modules for these vertex alge…
Covering AlgebrasI: Extended Affine Lie Algebras
Bruce Allison, Stephen Berman, Arturo Pianzola
Covering Algebras of extended affine Lie algebras(EALA's) relative to finite order automorphisms are studied. Conditions are given for when the resulting algebra is again an EALA.…
A unified view of some vertex operator constructions
Stephen Berman, Yun Gao, Shaobin Tan
We present a general vertex operator construction based on the Fock space for an affine Lie algebras of type . This construction allows us to give a unified treatment for both t…
Vertex operator algebras and the representation theory of toroidal algebras
S. Berman, Y. Billig, J. Szmigielski
An explicit vertex operator algebra construction is given of a class of irreducible modules for toroidal Lie algebras.