Structure of a Class of Lie Algebras of Block Type

摘要

Let (q) be a class of Lie algebras of Block type with basis {L _{α, i}  | α, i , i ≥ 0} and relations [L _{α, i} , L _{β, j} ] = (β(i + q) − α(j + q))L _{α+β, i+j} , where q is a positive integer. In this article, it is shown that (q) are different from each other for distinct positive integers q's. The automorphism groups, the derivation algebras, and the central extensions of all (q) are also uniformly and explicitly described, which generalize some previous results.View full textDownload full textKey WordsAutomorphism, Central extension, Derivation, Lie algebras of Block type2000 Mathematics Subject Classification17B05, 17B40, 17B56, 17B65, 17B68Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00927872.2011.561392