Covering algebras II: Isomorphism of loop algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 07 Jan 2004Embargo end date: 01 Jan 2002Publisher:Walter de Gruyter GmbHJournal:Journal für die reine und angewandte Mathematik (Crelles Journal), volume 2,004 (issn: 0075-4102, eissn: 1435-5345,

Copyright policy )Funded by:NSERC | unidentified

Authors: Allison, Bruce; Berman, Stephen; Pianzola, Arturo;

doi: 10.1515/crll.2004.044 , 10.48550/arxiv.math/0211068

arXiv: math/0211068

Covering algebras II: Isomorphism of loop algebras

- Summary
- Subjects
- Metrics

Abstract

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 and sufficient conditions for two such loop algebras to be isomorphic.

Keywords

Automorphisms, derivations, other operators for Lie algebras and super algebras, loop algebras, 17B65, isomorphism of loop algebras, symmetrizable Kac-Moody Lie algebras, automorphisms of finite order, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, extended affine Lie algebras, nonabelian Galois cohomology, Mathematics - Quantum Algebra, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Quantum Algebra (math.QA), Representation Theory (math.RT), Mathematics - Representation Theory

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	8
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average