most citedCovering Algebras II: Isomorphism of Loop Algebras

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math.QA2002★ 6 cited

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…

math.QA2001

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.…