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A Theorem Concerning Partitions and its Consequence in the Theory of Lie Algebras
Published online by Cambridge University Press: 20 November 2018
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In the first part of this paper we state and prove a theorem concerning the partition (j; l, i) of an integer j into at most l integers 
, none of which exceed i; l and i being themselves integers, (j; l, i) is thus the number of distinct solutions of the equations
1.1
where the satisfy the inequalities
1.2
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- Research Article
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- Copyright © Canadian Mathematical Society 1968
References
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Dickson, L. E., History of the theory of numbers, Vol. 2 (Stechert, New York, 1934).Google Scholar
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Dynkin, E. B., Some properties of the system of weights of a linear representation of a semisimple Lie group, Dokl. Akad. NaukSSSR (N.S.), 71 (1950), 221.Google Scholar
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Hughes, J. W. B., Theory of unitary groups, University College, London, Department of Physics Review paper (September, 1965).Google Scholar
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