Infinite-dimensional lie algebras. II |
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| Authors: | Irving Kaplansky Robert E. Kibler |
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| Affiliation: | 1. Department of Mathematics , University of Chicago , Chicago, Illinois, 60637;2. Laurel, Maryland, 2081112610 Ivystone Lane |
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| Abstract: | In a previous paper, systems of vectors of the kind that occur in Lie algebras of types A and D were classified in the infinite-dimensional case. The present paper carries out the analogous project for types B and C. The starting point is a set of six axioms for a set of vectors in an inner product space. The fact that F4 is the only exceptional system and that its dimension is only 4 makes it possible to keep the discussion elementary and self-contained. |
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