Reduced determinantal forms for characters of the classical Lie groups
- 1 December 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (12) , 2305-2315
- https://doi.org/10.1088/0305-4470/12/12/009
Abstract
The reduced determinantal forms for the character of all the irreducible representations of the classical Lie groups are derived from Weyl's character formulae. The derivations use a lemma due to Frobenius and the results are expressed in terms of characters of representations specified by hook diagrams. The results are appropriate to all irreducible representations whether specified by ordinary or composite Young diagrams, and whether tensor or spinor in nature.Keywords
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