ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(III)

  • In this paper, using the method employed in two earlier papers: "On the Irredu-cible Representations of the Compact Simple Lie Groups of Rank 2(I) and (II)",theirreducible representations of the groups B2 and G2 are discussed. A method for cal-culating the irreducible representations of these groups is given. Moreover,some ofthe low dimensional representations of these groups are calculated.
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  • [1] G. Racah, Group Theory and Spectroscopy, Princeton, 1951.[2] R. E. Behrends et al., Rev. Mod. Phys., 34(1962),1.[3] A. Salam, Theoretical Phyeies, p.173, Viena, 1963.[4] 孙洪洲,高能物理与核物理,4(1980), 73; 137,
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Sun Hong-zhou. ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(III)[J]. Chinese Physics C, 1980, 4(3): 271-285.
Sun Hong-zhou. ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(III)[J]. Chinese Physics C, 1980, 4(3): 271-285. shu
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Received: 1978-12-08
Revised: 1900-01-01
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ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(III)

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Abstract: In this paper, using the method employed in two earlier papers: "On the Irredu-cible Representations of the Compact Simple Lie Groups of Rank 2(I) and (II)",theirreducible representations of the groups B2 and G2 are discussed. A method for cal-culating the irreducible representations of these groups is given. Moreover,some ofthe low dimensional representations of these groups are calculated.

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