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Zbl 0792.17020
Aslaksen, Helmer; Wahl, Terje; Wentzel-Larsen, Tore
Root multiplicities and ideals in quasisimple Lie algebras. (English)
[J] Math. Scand. 73, No.1, 15-20 (1993). ISSN 0025-5521

The purpose of this note is to elaborate on some of the results of a paper by {\it R. Høegh-Krohn} and {\it B. Torresani} [J. Funct. Anal. 89, 106-136 (1990; see the preceding review)]. They determined the possible root systems for quasisimple Lie algebras, but they did not discuss the multiplicities of the roots. We give examples of nonisomorphic quasisimple Lie algebras with the same root system (not counting multiplicities). We also show that in our examples the ideals can be more complicated than in the Lie algebras considered by Høegh- Krohn and Torresani.
[H.Aslaksen (Singapore)]

MSC 2000:: *17B65 Infinite-dimensional Lie algebras

Keywords: isotropic roots; root systems; quasisimple Lie algebras; multiplicities; ideals

Citations: Zbl 0792.17020

Cited in: Zbl 0792.17020

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