Chinese Physics C > 1986, Vol. 10 > Issue(2): 170-176

THREE-COCYCLES FOR TRANSLATION GROUP AND THE GENERALIZED MANDELSTAM WAVE FUNCTION

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In this paper we discuss the cohomology for translation group, analyze the property of each order of cocycles, claryfy some ambiguties, Meanwhile we introduce the generalized Mandelstam wave function which can realize the 3-cocycles of translation group.

References

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R. Jackiw, 文集"Relativity, Groups and 'Topology II" Les Houches 1983, B. S. DeWitt and R.Stora主编.North Holland (1984) B. Zumino, 同上文集, M. F. Atiyah and I. M. Singer, Proc.Natl. Acad. Sci. USA 81(1984 ) 2597[2] J. bless and B. Zumino, Phys. Lett., 37B(1971), 95. E. Witten, Nucl. Phys., 223 (1983), 422.[3] L. D. Faddeev, Phys. Lett., 145B(1984), 81; L. D. Faddeev and S. L. Shatashvili, Theor. Math.Phys., 60(1984), 206.[4] R. Jackiw. MIT 予印品 CTP #1209.[5] Hou, B. Y.(侯伯宇), Hou B. Y.(侯伯元).Chinese P:.Lett., 2(1985).[6] Hou, B. Y.(侯伯宇)等, 西安予印品, NWU-IMP-84-9; NWU-IMP-85-4. D: Boulware, S. Deser and B.Santa Barbare予印品CA93106. R. Jackiw.私人通信.[7] Hou. B. Y.(侯伯宇), Hou; B, Y:(侯伯元).Wang, P.(王珮), NWU-IMP-85-1.[8] S. Mandelstam, Ann.Phys., 19(1962), 1.[9] C N. Yang, Phys. Rev. Lett., 38 (1977 ), 1377.

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WANG Pei, HOU Bo-Yuan and HOU Bo-Yu. THREE-COCYCLES FOR TRANSLATION GROUP AND THE GENERALIZED MANDELSTAM WAVE FUNCTION[J]. Chinese Physics C, 1986, 10(2): 170-176.

WANG Pei, HOU Bo-Yuan and HOU Bo-Yu. THREE-COCYCLES FOR TRANSLATION GROUP AND THE GENERALIZED MANDELSTAM WAVE FUNCTION[J]. Chinese Physics C, 1986, 10(2): 170-176. shu

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Received: 1900-01-01
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

THREE-COCYCLES FOR TRANSLATION GROUP AND THE GENERALIZED MANDELSTAM WAVE FUNCTION

Corresponding author:WANG Pei,

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1986-04-05

Abstract:In this paper we discuss the cohomology for translation group, analyze the property of each order of cocycles, claryfy some ambiguties, Meanwhile we introduce the generalized Mandelstam wave function which can realize the 3-cocycles of translation group.