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Derivations of multi-loop algebras
Published/Copyright:
November 19, 2007
Abstract
This article is about the derivation algebra of multi-loop algebras. Multi-loop algebras are algebras obtained by a generalization of a process known as twisting by automorphisms in the theory of Kac–Moody algebras. Multi-loop algebras are used in the realization of extended affine Lie algebras. Under certain conditions on an algebra 𝒜, we determine the derivation algebra of an n-step multi-loop algebra based on 𝒜 as the semidirect product of a multi-loop algebra based on the derivation algebra of 𝒜 and the derivation algebra of the Laurent polynomials in n-variables. This in particular determines the derivation algebras of the core modulo center of (almost all) extended affine Lie algebras.
Received: 2006-01-30
Revised: 2006-03-06
Published Online: 2007-11-19
Published in Print: 2007-11-20
© Walter de Gruyter
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- A generalization of Kronecker function rings and Nagata rings
- Cotilting and tilting modules over Prüfer domains
- Derivations of multi-loop algebras
- Injective and colon properties of ideals in integral domains
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Articles in the same Issue
- On the simple connectedness of certain subsets of buildings
- A generalization of Kronecker function rings and Nagata rings
- Cotilting and tilting modules over Prüfer domains
- Derivations of multi-loop algebras
- Injective and colon properties of ideals in integral domains
- A Lewis Correspondence for submodular groups
- Spreads of PG(3, q) and ovoids of polar spaces
- Meromorphic continuation of multivariable Euler products
