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IRREDUCIBLE REPRESENTATIONS OF GRADED LIE ALGEBRA SU(n/1)
Sun Hongping
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Abstract
We define the generators of the Lie algebra SU(n) as irreducible tensor operators ofSU(n-1), SU(n-2),..., SU(2). Using the properties of these irreducible tensor operators, weobtain the irreducible representations of SU(n). These expressions are simpler than theothers. We also give the analytic expressions of some reduction coefficients and Racah coef-ficients of SU(n). On this basis, we get irreducible representations of the graded Lie algebraSU(n/1).