Remarks on integration over Lie algebras
Annales de l'I.H.P. Physique théorique, Volume 54 (1991) no. 1, pp. 1-8.
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Altschuler, Daniel; Itzykson, Claude. Remarks on integration over Lie algebras. Annales de l'I.H.P. Physique théorique, Volume 54 (1991) no. 1, pp. 1-8. http://archive.numdam.org/item/AIHPA_1991__54_1_1_0/

[1] For extensive discussions and references see M.L. Mehta, Random Matrices and the Statistical Theory of Energy Levels, Academic Press, New York, 1967. | Zbl

[2] G. 'T Hooft, Nucl. Phys., Vol. B72, 1974, p. 461; Nucl. Phys., Vol. B75, 1974, p. 461.

[3] E. Brézin and C. Itzykson, G. Parisi and J.-B. Zuber, Comm. Math. Phys., Vol. 59, 1978, p. 35. | MR | Zbl

[4] C. Itzykson and J.-B. Zuber, J. Math. Phys., Vol. 21, 1980, p. 411. | MR | Zbl

[5] D. Bessis, C. Itzykson and J.-B. Zuber, Adv. Applied Math., Vol. 1, 1980, p. 109. | MR | Zbl

[6] F. David, Nucl. Phys., Vol. B257, 1985, p. 45; V. Kazakov, Phys. Lett., Vol. 150B, 1985, p. 282; V. Kazakov, I. Kostov and A.A. Migdal, Phys. Lett., Vol. B157, 1985, p. 295.

[7] E. Brézin and V.A. Kazakov, Phys. Lett., Vol. B236, 1990, p. 144; M. Douglas and S. Shenker, Rutgers preprint, 1989; D.J. Gross and A.A. Migdal, Phys. Rev. Lett., Vol. 64, 1990, p. 127.

[8] V.G. Knizhnik, A.M. Polyakov and A.B. Zamolodchikov, Mod. Phys. Lett., Vol. A3, 1988, p. 819; F. David Mod. Phys. Lett., Vol. A3, 1988, p. 1651; J. Distler and H. Kawai, Nucl. Phys., Vol. B321, 1989, p. 509.

[9] J. Harer and D. Zagier, Invent. Math., Vol. 85, 1986, p. 457; R.C. Penner, Bull. A.M.S., Vol. 15, 1986, p. 73; J. Diff. Geom., Vol. 27, 1988, p. 35; Comm. Math. Phys., Vol. 113, 1987, p. 299. | MR | Zbl

[10] N. Bourbaki, Groupes et Algèbres de Lie, chapitres 4, 5 et 6, Masson, Paris, 1981. | MR | Zbl

[11] D.J. Gross and E. Witten, Phys. Rev., Vol. D21, 1980, p. 446.

[12] Harish-Chandra, Am. J. Math., Vol. 79, 1957, p. 87. | Zbl

[13] S. Helgason, Groups and Geometric Analysis, Academic Press, 1984. | MR | Zbl

[14] A.A. Kirillov, Funct. Anal. Appl., Vol. 2, 1968, p. 133. | Zbl

[15] M. Stone, Nucl. Phys., Vol. 314, 1989, p. 557.

[16] J.J. Duistermaat and G.J. Heckman, Invent. Math., Vol. 69, 1982, p. 259. | MR | Zbl

[17] I.B. Frenkel, Invent. Math., Vol. 77, 1984, p. 301. | Zbl