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J. Math. Phys. 25, 219 (1984); doi:10.1063/1.526143 (9 pages)
General indices of representations and Casimir invariants
(Received 26 October 1982; accepted 16 September 1983)
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Add to FacebookA modified definition of the index of degree p of a finite‐dimensional representation of a simple Lie algebra is given. The definition applies equally to even and odd p. The correspondence between the earlier definitions of indices (even p) and anomaly numbers (odd p) is pointed out as well as the relation to Casimir invariants of the algebra. A closed formula for the fifth‐order index is derived.
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Lie algebras of Lie groups
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