Derivations of certain algebras defined by étale descent

2009/01/29 by Arturo Pianzola, Pianzola, Arturo
Mathematics · Physics and Astronomy · #17B67 (Primary) 17B01 (Secondary) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Rings and Algebras (math.RA) #math-ph #math.MP #math.RA #msc:17B01 #msc:17B67

paper · pdf · doi:10.48550/arxiv.0901.4755

15 pages. To appear in Mathematische Zeitschrift

arxiv created 2009/01/29 · arxiv updated 2009/12/01

Abstract

We give an explicit description of the Lie algebra of derivations for a class of infinite dimensional algebras which are given by étale descent. The algebras under consideration are twisted forms of central algebras over rings, and include the multiloop algebras that appear in the construction of extended affine Lie algebras.

Related

• Enveloping algebras of derivations of commutative and noncommutative algebras
• On finite-dimensional subalgebras of derivation Lie algebras
• Extended derivations of algebras
• Derivations of Twisted Loop Algebras of Minimal Q-graded Subalgebras
• Automorphisms and derivations on algebras endowed with formal infinite sums