Classification of 5-dimensional MD-algebras having commutive derived ideals

2008/01/06 by Le Anh Vu, Vu, Le Anh, Kar Ping Shum +1
Mathematics · #20C20 #22E45 #46E25 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:20C20 #msc:22E45 #msc:46E25

paper · pdf · doi:10.48550/arxiv.0801.0837

27 pages, no figures

arxiv created 2008/02/18 · arxiv updated 2009/12/01

Abstract

In this paper, we study a subclass of the class of MD-algebras, i.e., the class of solvable real Lie algebras such that the K-orbits of its corresponding connected and simply connected Lie groups are either orbits of dimension zero or orbits with maximal dimensions. Our main result is to classify, up to isomorphism, all the 5-dimensional MD-algebras having commutative derived ideals.

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