Integral structures in extended affine Lie algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2022Embargo end date: 01 Jan 2021 English Publisher:Elsevier BVJournal:Journal of Algebra, volume 597, pages 116-161 (issn: 0021-8693,

Copyright policy )

Authors: Saeid Azam; Amir Farahmand Parsa; Mehdi Izadi Farhadi;

doi: 10.1016/j.jalgebra.2022.01.007 , 10.48550/arxiv.2106.09414

arXiv: 2106.09414

Integral structures in extended affine Lie algebras

- Summary
- Subjects
- Related research
  (3)
- Metrics

Abstract

We construct certain integral structures for the cores of reduced tame extended affine Lie algebras of rank at least 2. One of the main tools to achieve this is a generalization of Chevalley automorphisms in the context of extended affine Lie algebras. As an application, groups of extended affine Lie type associated to the adjoint representation are defined over arbitrary fields.

45 pages

Keywords

affinization, Infinite-dimensional Lie groups and their Lie algebras: general properties, Chevalley automorphism, 17B67, 17B65, 19C99, 20G44, 22E65, Steinberg group, Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras, extended affine Lie algebras, Mathematics - Quantum Algebra, Chevalley basis, FOS: Mathematics, Infinite-dimensional Lie (super)algebras, Quantum Algebra (math.QA), Steinberg groups and \(K_2\), Kac-Moody groups, multiloop algebra

3 Research products, page 1 of 1

Prenilpotent pairs in the E10 root system
2014IsAmongTopNSimilarDocuments
Groups of Extended Affine Lie Type
2019IsAmongTopNSimilarDocuments
Presentation of affine Kac–Moody groups over rings
2016IsAmongTopNSimilarDocuments

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).	4
	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.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average