Characters of the irreducible representations of the simple Lie groups. II. Applications to classical groups

Antoine, Jean-Pierre;Speiser, David
(1964) Journal of Mathematical Physics — Vol. 5, n° 11, p. 1560-1572 (1964)

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  • Antoine, Jean-Pierreorcid-logoUCLouvain
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  • Speiser, DavidUCLouvain
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Abstract
The general formulas found in a preceding paper for the characters of irreducible representationsof simple Lie groups are developed in the case of the classical groups: the four series Al, Bl, Cl, Dl,plus the exceptional case G2. Groups of rank 1 and 2, plug A3  ≃  D3 are studied in detail.
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Antoine, J.-P., & Speiser, D. (1964). Characters of the irreducible representations of the simple Lie groups. II. Applications to classical groups. Journal of Mathematical Physics, 5(11), 1560-1572. https://doi.org/10.1063/1.1931189 (Original work published 1964)