IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n)

HAN QI-ZHI; SONG XING-CHANG; LI GEN-DAO; SUN HONG-ZHOU

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2024年10月30日

Chinese Physics C> 1981, Vol. 5> Issue(5) : 546-553

IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n)

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Abstract：
Using the definition of irreducible tensor operators of the Lie group SU(n), we ive a method of calculating the irreducible representations of the graded Lie algebra U(m/n). We also give some simple examples of irreducible representations of U(3/2) and SU(m/n).

References

[1]	M. Scheunert, W. Nahm and V. Rittenberg, J. Math. Phys., 18(1977), 155;宋行长、韩其智、孙洪洲,科学通报,25(1980), 105.[2] 孙洪洲、俞允强,韩其智,广州拉子物理会议论文集,第1643页,1980年科学出版社出版.[3] 孙洪洲、韩其智,中国科学,1981年第1期,第81页.

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HAN QI-ZHI, SONG XING-CHANG, LI GEN-DAO and SUN HONG-ZHOU. IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n)[J]. Chinese Physics C, 1981, 5(5): 546-553.

HAN QI-ZHI, SONG XING-CHANG, LI GEN-DAO and SUN HONG-ZHOU. IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n)[J]. Chinese Physics C, 1981, 5(5): 546-553. shu

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Received: 1980-06-20
Revised: 1900-01-01

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IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n)

Received Date: 1980-06-20
Accepted Date: 1900-01-01
Available Online: 1981-10-05

Abstract: Using the definition of irreducible tensor operators of the Lie group SU(n), we ive a method of calculating the irreducible representations of the graded Lie algebra U(m/n). We also give some simple examples of irreducible representations of U(3/2) and SU(m/n).