Pairs of generators for compact real forms of the classical Lie algebras (Q1824021)

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scientific article; zbMATH DE number 4116768
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Pairs of generators for compact real forms of the classical Lie algebras
scientific article; zbMATH DE number 4116768

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    Pairs of generators for compact real forms of the classical Lie algebras (English)
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    1989
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    Let L be the Lie algebra of a classical compact simple Lie group. In this paper the author shows how to construct pairs (A,B) of elements in L such that the Lie algebra generated by A and B is all of L. The construction is given in terms of the root system and depends heavily on an earlier paper of the author and \textit{P. E. Crouch} [Math. Control Signals Syst. 1, No.1, 31-42 (1988; Zbl 0658.93013)]. Unfortunately, the author does not repeat the definition of his central combinatorial object, the ``elementary root graph'', in this paper.
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    pairs of generators
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    compact real Lie algebras
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    root system
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    elementary root graph
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