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

Sun Hong-zhou

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2024年10月30日

Chinese Physics C> 1980, Vol. 4> Issue(3) : 271-285

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

Sun Hong-zhou

Peking University

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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.

References

[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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沈阳化工大学材料科学与工程学院沈阳 110142

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

Sun Hong-zhou

Peking University

Received Date: 1978-12-08
Accepted Date: 1900-01-01
Available Online: 1980-06-05

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.